Triangle ABC has the following angle measures:

Mathematics

1 answer:

s2008m [1.1K]2 years ago

8 0

The measure of angle A in the triangle is 18°

<h3>How to determine the measure of angle A?</h3>

The angles in the triangle are given as:

m∠A = (2x − 24)°, m∠B = (x + 8)°, m∠C = (4x + 49)°

The sum of angles in a triangle is 180

So, we have

m∠A + m∠B + m∠C = 180

Substitute the known values in the above equation

So, we have:

2x − 24 + x + 8 + 4x + 49 = 180

Evaluate the like terms

7x = 147

Divide both sides by 7

x = 21

Substitute x = 21 in m∠A = (2x − 24)°

m∠A = (2 * 21 − 24)°

Evaluate

m∠A = 18°

Hence, the measure of angle A in the triangle is 18°

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Ⓗⓘ ⓣⓗⓔⓡⓔ

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