Measures (in degrees) of two complementary angles are two consecutive even integers. Find the angles.

Solution:

Given, measures of two complementary angles are two consecutive even integers.

We have to find the angles.

Let the two consecutive angles be x and x+2.

When the sum of the measures of two angles is 90°, the angles are called complementary angles.

So, x + x + 2 = 90°

2x + 2 = 90°

2x = 90° - 2

2x = 88°

x = 88°/2

x = 44°

Now, x + 2 = 44 + 2 = 46°

Therefore, the angles are 44° and 46°.

✦ Try This: In the figure given above, l∥m. Find the values of y.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

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NCERT Exemplar Class 7 Maths Chapter 5 Problem 95

Measures (in degrees) of two complementary angles are two consecutive even integers. Find the angles.

Summary:

Measures (in degrees) of two complementary angles are two consecutive even integers. The angles are 44° and 46°

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