Question

find the value of a. (7a + 16)° (-8a + 82)°

Explanation:

Step1: Set up equation

The two angles are complementary (sum to 90°), so we have the equation $(7a + 16)+(-8a + 82)=90$.

Step2: Simplify left - hand side

Combine like terms: $7a-8a+16 + 82=90$, which simplifies to $-a+98 = 90$.

Step3: Solve for a

Subtract 98 from both sides: $-a=90 - 98=-8$. Then multiply both sides by - 1 to get $a = 8$.

Answer:

$8$