Answer:
41° and 49°
Step-by-step explanation:
Given:
Angle 1 and angle 2 are complementary angles.
The measures of angle 1 is 8 more than the measure of angle 2.
Question asked:
Determine the measures of angle 1 and 2.
Solution:
Let ∠1 =
Then ∠2 = (given)
As we know that sum of complementary angles are 90° and here given that angle 1 and angle 2 are complementary angles which means,
∠1 + ∠2 = 90°
°
°
Subtracting both sides by 8,
°
°
Dividing both sides by 2,
°
∠1 = °
∠2 =
∠2 = = 49°
Therefore, the measures of angle 1 and 2 are 41° and 49°