In the triangle below, the m∠1 = 64°and m∠2 = 33°, what is the mz4?
Since angles 1 and 2 are opposite each other and the sum of angles in a triangle is 180°, we have:
m∠1 + m∠2 + m∠3 = 180°
64° + 33° + m∠3 = 180°
97° + m∠3 = 180°
m∠3 = 180° - 97°
m∠3 = 83°
Since angles 3 and 4 are supplementary (opposite angles), we have:
m∠4 = 180° - m∠3
m∠4 = 180° - 83°
m∠4 = 97°
Therefore, mz4 = 97°.