If the measure of angle qpr is 80°, what is the measure of angle qor?

finding the measure of the missing angle in a triangle

Solution:

Given, angle QPR is 80 degrees.

We have to find the measure of angle PQR.

We know that the sum of interior angles of a triangle is always equal to 180°

So, ∠PQR + ∠QRP + ∠RPQ = 180°

 ∠PQR + ∠QRP + 80° = 180°

 ∠PQR + ∠QRP = 180° - 80°

 ∠PQR + ∠QRP = 100°

From the figure,

∠PQR = 2●

∠QRP = 2x

So, 2● + 2x = 100°

2(● + x) = 100°

Dividing by 2 on both sides,

● + x = 50°

From triangle QOR,

● + x + ∠QOR = 180°

50° + ∠QOR = 180°

∠QOR = 180° - 50°

Therefore, ∠QOR = 130°.

If the measure of angle qpr is 80°, what is the measure of angle qor?

Summary:

If the measure of angle qpr is 80°, the measure of angle QOR is 130°.

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