Question

measures of two complementary angles are two consecutive even integers.find the angles

Answer 1

Answer:

The angles are 44° and 46°.

Step-by-step explanation:

Given,

the measure of two complementary angles is two consecutive even integers.

To find: the angles ​

Solution:

Let the angles be x and (x+2).

WE know,

Sum of two complementary angles = 90°

or, x + x+2 = 90°

or, 2x + 2 = 90°

or, 2x = 90-2

or, x = 88/2

or, x = 44°

Therefore, Measures of angle are x and (x+2) = 44° and 44+2° = 46°.

i.e The angles are 44° and 46°.