Question

1. given ∠r and ∠t are complimentary. if m∠r is 125 what is the m∠t? 4) suppose ∠a and angles, m∠a=(3x 10)°. solve for x and m∠b.

Explanation:

There is an error in the problem statement. Complementary angles are two angles whose sum is 90 degrees. But \(m\angle R = 125^{\circ}\) which is greater than 90 degrees, so it's not possible for \(\angle R\) and \(\angle T\) to be complementary.

If we assume it was a mis - statement and they were supposed to be supplementary (sum of 180 degrees):

Step1: Recall supplementary angle property

The sum of supplementary angles is 180 degrees. So \(m\angle R+m\angle T = 180^{\circ}\).

Step2: Solve for \(m\angle T\)

We know \(m\angle R = 125^{\circ}\), then \(m\angle T=180 - m\angle R\). Substitute \(m\angle R = 125^{\circ}\) into the equation: \(m\angle T=180 - 125\).

Answer:

\(m\angle T = 55^{\circ}\)