Question

Find the measure of

Answer 1

We have the following drawing

Note that angle PBR and angle RBM are complementary. That is, their measures add up to 90°. Let x be the measure of angle PBR. So we have the following equation

`x+41=90`

Then, by subtracting 41 on both sides we get

`x=90-41=49`

Then angle PBR has a measure of 49°.

Note that angle PBR is the sum of c and 53. So we have the following equatio

`C+53=49`

By subtracting 53 on both sides, we get

`C=49-53=-4`

Thus, the value of C is -4.