G7 Apply Two-Step Equations to Find Angle Measures PDF

Apply Two-Step Equations to Find Angle Measures Lesson : 7-5, Standard: EE Q1: Ms. Carter tells the class that two angles are supplementary, and their measures are (7x+10)∘ and (5x+20). Find x. Q2: Mr. Johnson draws two angles that are supplementary. Their measures are (6x+15) and (4x+25). Find x....

Apply Two-Step Equations to Find Angle Measures Lesson : 7-5, Standard: EE Q1: Ms. Carter tells the class that two angles are supplementary, and their measures are (7x+10)∘ and (5x+20). Find x. Q2: Mr. Johnson draws two angles that are supplementary. Their measures are (6x+15) and (4x+25). Find x. Q3: Ms. Smith draws a pair of supplementary angles and tells the class that the angle measures are (5x+20) and (3x+10). Find x. Q4: ∠G and ∠H are adjacent. The sum of their measures is 105. ∠G measures (2x+6). ∠H is four times the size of ∠G. Write an equation to determine the value of x. Q5: ∠C and ∠D are adjacent. The sum of their measures is 120∘. ∠C measures (4x+10)∘. ∠D is twice the size of ∠C. Write an equation to determine the value of x. Q6: Two angles are complementary. One angle is 8x−58 and the other is 2x+35. Find x. Q7: The measures of two complementary angles are 9x−10 and x+100. Find x. Q8: Two complementary angles have measures of 6x+25 and 4x−54. Find x. Q9: ∠G and ∠H are adjacent. The sum of their measures is 150∘. ∠G measures (5x−10) and ∠H is three times the size of ∠G. Write an equation to determine the value of x. Q10: ∠M and ∠N are adjacent. The sum of their measures is 135∘. ∠M measures (4x+8)∘ and ∠N is half the size of ∠M. Write an equation to determine the value of x.