Question

A ∠A and ∠B are complementary angles. If m∠A = (6x - 4) degrees and m∠B = (x + 17) degrees, then find the measure of ∠A.

A) 80 degrees
B) 70 degrees
C) 60 degrees
D) 50 degrees

Answer 1

...Complementary angles are angles whose sum of measures is equal to 90°.

(6x-4)°+(x+17)° = 180°.

6x-4+x+17= 90

7x+13=90

7x=90-13

x=11°

 = (6x-4)² = 6*11-4=62°

Step-by-step explanation:

Answer 2

The measure of angle A is 62 degrees.

Step-by-step explanation:

We are given that angles A and B are complementary angles, which means that their measures add up to 90 degrees. We are also given the measures of angle A and angle B as (6x - 4) degrees and (x + 17) degrees respectively. To find the measure of angle A, we can set up an equation:

(6x - 4) + (x + 17) = 90

Simplifying the equation:

7x + 13 = 90

Subtracting 13 from both sides of the equation:

7x = 77

Dividing both sides by 7:

x = 11

Now we can substitute the value of x back into the expression for angle A:

m∠A = (6x - 4) = (6 * 11 - 4) = 62 degrees

Therefore, the measure of angle A is 62 degrees.