Use the given measures of <A = 40º and <B= 5xºto answer the following conditions.

Question

This is a three part question so I'm putting the rest of the question here, sorry.

Use the given measures of <A = 40º and <B= 5xºto answer the following conditions:

Part A -Write an equation when Angle A and Angle B are vertical angles. Solve for x. Show your work or explain your steps.

Part B -Write an equation when Angle A and Angle B are supplementary angles. Solve for x. Show your work or explain your steps. What is the measure of Angle B?

Part C -Write an equation when Angle A and Angle B are complementary angles. Solve for x. Show your work or explain your steps. What is the measure of Angle B?

Answer 1

hi,

Part A -Write an equation when Angle A and Angle B are vertical angles

vertical angels are always congruent, so A = B ----> 40 = 5x ----> x = 8

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Part B -Write an equation when Angle A and Angle B are supplementary angles.

sum of supplementary angles is 180, so A + B = 180 ----> 40 + 5x = 180 -----> 5x = 140 ---> x = 28

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Part C -Write an equation when Angle A and Angle B are complementary angles.

sum of complementary angles is 90, so A + B = 90 ----> 40 + 5x = 90 -----> 5x = 50 ---> x = 10

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I hope it is useful,

Minoo