Question

in triangle WXY, if the measure of angle w is five less than twice the measure of angle y and the measure of angle x is 21 more than the measure of angle y, find the measure of each angle.

Answer 1

Considering that the sum of the internal angles of a triangle is of 180º, the measures of the angles in triangle WXY are given as follows:

x = 62º, y = 41º, w = 76º.

What is the sum of the internal angles of a triangle?

The sum of the internal angles of a triangle is of 180º. In this problem, the angles are w, x and y, hence:

x + y + w = 180.

The measure of angle w is five less than twice the measure of angle y, hence:

w = 2y - 5.

The measure of angle x is 21 more than the measure of angle y, hence:

x = y + 21.

Replacing in the first equation, we can find angle y as follows:

y + 21 + y + 2y - 5 = 180.

4y = 164.

y = 164/4

y = 41.

Then:

• w = 2y - 5 = 2(41) - 5 = 76.

• x = y + 21 = 41 + 21 = 62.

The measures of the angles are given as follows:

x = 62º, y = 41º, w = 76º.

More can be learned about the sum of the internal angles of a triangle at brainly.com/question/25215131

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