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.
<h3>What is the sum of the internal angles of a triangle?</h3>
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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