Question

Parallel lines 𝒶 and 𝒸 are cut by transversal
.



The measure of ∠1 is 20 less than twice a number. The measure of ∠2 is 68 more than half the measure of ∠1. Find the equation to solve.

Radio button to select the answer below
A.

Radio button to select the answer below
B.

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C.

Part B
Multiple Choice Question
Parallel lines 𝒶 and 𝒸 are cut by transversal
.


The measure of ∠1 is 20 less than twice a number. The measure of ∠2 is 68 more than half the measure of ∠1. Find the measures of ∠1.

A.
89
B.
-58
C.
72
D.
136

Answer 1

Let n = the number. Then ∠1 = 2n − 20 and ∠2 = 68 + 1/2(∠1) = 68 + 1/2(2n − 20) = n + 58.

Because the lines are parallel, ∠1 and ∠2 are congruent, so the equation is
2n − 20 = n + 58.

Solve: n = 78, so ∠1 = 2(78) − 20 = 136.

Answer: Part A: 2n − 20 = n + 58. Part B: D (136).