Question

Math < Previous cstion Back 78 minutes remaining Sayed Hashim Question 2 - 3 Points Sep 12, 10:17:49 PM ∠A and ∠B are complementary angles. If m∠A= (x - 23) and m∠B = (2x + 29), then find the measure of ∠B. E Answer:

Answer 1

To find the measure of angle B, set up an equation using the given measures of angle A and B. Combine like terms and solve for x. Substitute the value of x back into the expression for angle B to find its measure.

Step-by-step explanation:

In this question, we are given that angles ∠A and ∠B are complementary, which means their sum is 90 degrees. We are also given the measures of ∠A and ∠B in terms of x: ∠A = x - 23 and ∠B = 2x + 29.

To find the measure of ∠B, we can set up an equation:

x - 23 + 2x + 29 = 90

Combining like terms, we have: 3x + 6 = 90

Subtracting 6 from both sides, we get: 3x = 84

Dividing both sides by 3, we find: x = 28

Now we can substitute the value of x back into the expression for ∠B to find its measure: ∠B = 2(28) + 29 = 85 degrees.

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