Question

Given the equation (8m + 4)° + 38° represents a 90° angle, solve for the value of "m."

a) m = 7
b) m = 6
c) m = 5
d) m = 8

Answer 1

To solve for the value of m in the equation (8m + 4)° + 38° = 90°, subtract 38° from both sides, subtract 4° from both sides, and then divide both sides by 8. The value of m is 6.

Step-by-step explanation:

To solve for the value of m, we need to set the equation equal to 90° and solve for m.

(8m + 4)° + 38° = 90°

Subtract 38° from both sides to isolate the 8m term on the left side:

(8m + 4)° = 90° - 38°

(8m + 4)° = 52°

Next, subtract 4 from both sides to isolate the 8m term:

8m = 52° - 4°

8m = 48°

Finally, divide both sides by 8 to solve for m:

m = 48° ÷ 8

m = 6