If angle 1 and angle 2 are complementary angles and if the measures of angle 1 is 8 more than the measure of angle 2 determine the measures of angle 1 and 2

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°

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