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∠A and ∠B are complementary angles. If m∠A = (2x - 13) and m∠B = (4x - 5), then find the measure of ∠B

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ChopinTheChicken

Hey there! I'm happy to help!

If angles are complementary, they add up 90 degrees.

This means that 2x-13+4x-5=90

Let's solve this equation now.

2x-13+4x-5=90

We combine like terms.

6x-18=90

We add 18 to both sides.

6x=108

x=18

Now we plug this x value into the value for angle B.

4(18)-5

72-5

67

Therefore, the measure of angle B is 67 degrees.

Have a wonderful day!

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