If angle b is two more than three times the measure of angle c, and angle b and angle c are complementary angles, find each angle measure.

The measure of angle B is 68° and the measure of angle C is 22°

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

m∠B+m∠C=90° > equation A

m∠B=3(m∠C)+2 > equation B

Substitute equation B in equation A and solve for m∠C

3(m∠C)+2+m∠C=90

4(m∠C)=90-2

4(m∠C)=88

m∠C=88/4

m∠C=22°

Find the value of m∠B

m∠B=3(22)+2=68°

therefore

The measure of angle B is 68° and the measure of angle C is 22°

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.