To find the measure of the angles in the triangles, use the properties of similar triangles. m∠ W = 30°, m∠ X = 85°, m∠ Y = 65°.
To find the measure of the angles in the triangles, we need to use the properties of similar triangles. Given that the triangles are similar, we can determine the corresponding angles are equal.
In the triangle with angle E and angle C, the corresponding angles in the other triangle are W and X.
Therefore, m∠ W = m∠ E = 30° and m∠ X = m∠ C = 85°.
Similarly, the corresponding angles to m∠ Y are the angles in the triangle without shading. We can see that angle A is corresponding to angle Y. Therefore, m∠ Y = m∠ A.
To find m∠ A, we can subtract the sum of the other two angles (30° + 85°) from 180°:
m∠ A = 180° - (30° + 85°) = 65°.
The probable question may be:
"The two triangles below are similar. Also, m∠ E=30° and m∠ C=85° as shown below. Find m∠ W,m∠ X, and m∠ Y. Assume the triangles are accurately drawn. m∠ W=□° × m∠ x=□° m∠ Y=□°"