Podcast
Questions and Answers
If AB || CD || EF and CE || DF, then find the value of x, y, and z.
If AB || CD || EF and CE || DF, then find the value of x, y, and z.
x = 45°, y = 80°, z = 30°
If l || m, then find the value of θ.
If l || m, then find the value of θ.
70°
If l || m and A || B, then find the value of θ.
If l || m and A || B, then find the value of θ.
95°
If QR || PS & PQ = QR, then find the value of θ.
If QR || PS & PQ = QR, then find the value of θ.
Signup and view all the answers
If l || m and A || B, then find the value of θ.
If l || m and A || B, then find the value of θ.
Signup and view all the answers
If l || m II n, then find the value of θ.
If l || m II n, then find the value of θ.
Signup and view all the answers
Find the value of ∠BOC in triangle ABC if ∠A = 50° and the interior bisector of ∠B and ∠C intersects at point O.
Find the value of ∠BOC in triangle ABC if ∠A = 50° and the interior bisector of ∠B and ∠C intersects at point O.
Signup and view all the answers
In triangle ABC, if AB = 6 cm, AC = 4 cm, and BC = 7 cm, then find the length of BD where AD is the interior bisector of ∠A.
In triangle ABC, if AB = 6 cm, AC = 4 cm, and BC = 7 cm, then find the length of BD where AD is the interior bisector of ∠A.
Signup and view all the answers
Find the value of ∠ACB in triangle ABC if ∠AOB = 125° and the interior bisector of ∠A and ∠B intersects at point O.
Find the value of ∠ACB in triangle ABC if ∠AOB = 125° and the interior bisector of ∠A and ∠B intersects at point O.
Signup and view all the answers
In triangle ABC, if AB = 10 cm, AC = 14 cm, and BC = 6 cm, then find the length of BD where AD is the interior bisector of ∠A.
In triangle ABC, if AB = 10 cm, AC = 14 cm, and BC = 6 cm, then find the length of BD where AD is the interior bisector of ∠A.
Signup and view all the answers
Find the value of ∠BOC in triangle ABC if ∠A = 30° and the exterior bisector of ∠B and ∠C intersects at point O.
Find the value of ∠BOC in triangle ABC if ∠A = 30° and the exterior bisector of ∠B and ∠C intersects at point O.
Signup and view all the answers
In triangle ABC, if AB = 5 cm, BC = 8 cm, and CA = 4 cm, then find the length of AF, CE, and BD where AD, BE, and CF are the interior bisectors of ∠A, ∠B, and ∠C respectively.
In triangle ABC, if AB = 5 cm, BC = 8 cm, and CA = 4 cm, then find the length of AF, CE, and BD where AD, BE, and CF are the interior bisectors of ∠A, ∠B, and ∠C respectively.
Signup and view all the answers
Find the value of ∠BOC in triangle ABC if the interior bisector of ∠B and the exterior bisector of ∠C intersects at point O, and ∠A = 84°.
Find the value of ∠BOC in triangle ABC if the interior bisector of ∠B and the exterior bisector of ∠C intersects at point O, and ∠A = 84°.
Signup and view all the answers
In triangle ABC, if AB = 10 cm, BC = 15 cm, ∠C = 30°, and ∠BDC = 130°, then find the value of ∠ABC where D is a point on the side AC and AD : DC = 2 : 3.
In triangle ABC, if AB = 10 cm, BC = 15 cm, ∠C = 30°, and ∠BDC = 130°, then find the value of ∠ABC where D is a point on the side AC and AD : DC = 2 : 3.
Signup and view all the answers
In triangle ABC, if AD is the exterior bisector of ∠A and AB = 6 cm, BC = 5 cm, and AC = 4 cm, then find the length of CD.
In triangle ABC, if AD is the exterior bisector of ∠A and AB = 6 cm, BC = 5 cm, and AC = 4 cm, then find the length of CD.
Signup and view all the answers
Study Notes
Conditions for Parallel Lines
- If AB || CD || EF, then CE || DF.
- If l || m, then θ is unknown.
- If l || m and A || B, then θ is unknown.
- If QR || PS and PQ = QR, then θ is unknown.
- If l || m II n, then θ is unknown.
Angle Properties in Triangles
- In triangle ABC, if ∠A = 50° and the interior bisector of ∠B and ∠C intersects at point O, then ∠BOC is unknown.
- In triangle ABC, if ∠AOB = 125° and the interior bisector of ∠A and ∠B intersects at point O, then ∠ACB is unknown.
- In triangle ABC, if ∠A = 30° and the exterior bisector of ∠B and ∠C intersects at point O, then ∠BOC is unknown.
- In triangle ABC, if the interior bisector of ∠B and the exterior bisector of ∠C intersects at point O, and ∠A = 84°, then ∠BOC is unknown.
Length Properties in Triangles
- In triangle ABC, if AB = 6 cm, AC = 4 cm, and BC = 7 cm, then the length of BD is unknown where AD is the interior bisector of ∠A.
- In triangle ABC, if AB = 10 cm, AC = 14 cm, and BC = 6 cm, then the length of BD is unknown where AD is the interior bisector of ∠A.
- In triangle ABC, if AB = 5 cm, BC = 8 cm, and CA = 4 cm, then the lengths of AF, CE, and BD are unknown where AD, BE, and CF are the interior bisectors of ∠A, ∠B, and ∠C respectively.
- In triangle ABC, if AB = 10 cm, BC = 15 cm, ∠C = 30°, and ∠BDC = 130°, then the value of ∠ABC is unknown where D is a point on the side AC and AD : DC = 2 : 3.
- In triangle ABC, if AD is the exterior bisector of ∠A and AB = 6 cm, BC = 5 cm, and AC = 4 cm, then the length of CD is unknown.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of geometry angles with these multiple-choice questions. Analyze parallel lines and transversals to find the measures of various angles.
