Question

In triangle QRS the measure of angle RSQ is 85°, and the measure of angle QRS is 31°.  What is the measure of angle SQR in degrees?

Answer 1

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

So, we have:

angle RSQ = 85°
angle QRS = 31°
angle SQR = x

Using the fact that the sum of angles in a triangle is 180°, we can write the equation:

85 + 31 + x = 180

Simplifying the equation, we have:

116 + x = 180

Subtracting 116 from both sides, we get:

x = 64

Therefore, the measure of angle SQR is 64°.