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andre [41]
3 years ago
7

I just need this question solved!

Mathematics
1 answer:
Levart [38]3 years ago
6 0

Answer:

m∠A+m∠B = m∠ACD.

m∠A = 56°

m∠B = 97°

Step-by-step explanation:

In this problem, we are given that m∠B is fifteen less than twice the m∠A.

Let m∠A = x°

This means that m∠B = 2x°-15°

Due the exterior angles theorem,

m∠A+m∠B = m∠ACD.

Since we are given that m∠ACD is 153°,

m∠A+m∠B=153°.

x+2x-15=153

x=56°

That means

m∠A = 56°

m∠B = 2(56) -15

m∠B = 97°

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