Question

In △XYZ, m∠Y = 55°, m∠Z = 74°, y = 15. Find the measure of angle X. If there is a 2nd triangle, write both measurements with the word AND in between. Round final answers to the nearest tenth.

Answer 1

The measure of angle X is 51°.

Explanation:

The sum of all interior angles of a triangle is 180°.

For the △XYZ it is provided that

m∠Y = 55°

m∠Z = 74°

Compute the measure of angle X as follows:

m∠X + m∠Y + m∠Z = 180°

m∠X + 55° + 74° = 180°

m∠X = 51°

Thus, the measure of angle X is 51°.