Question

In triangle PQR, the measure of angle P is 54º and the measure of angle Q is 51º. What is the measure of angle R?

Answer 1

To find the measure of angle R in triangle PQR, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

We are given:
- Measure of angle P = 54º
- Measure of angle Q = 51º

Now, we can find angle R using the formula:

\[
\text{Angle R} = 180º - (\text{Angle P} + \text{Angle Q})
\]

Substituting the values:

\[
\text{Angle R} = 180º - (54º + 51º)
\]
\[
= 180º - 105º
\]
\[
= 75º
\]

Therefore, the measure of angle R is **75º**.