Measures (in degrees) of two supplementary angles are consecutive odd integers. Find the angles.

Solution:

Given, measures of two supplementary angles are consecutive odd integers.

We have to find the angles.

Let the two consecutive odd integers be x and x+2.

When the sum of the measures of two angles is 180°, the angles are called supplementary angles.

So, x + x + 2 = 180°

2x + 2 = 180°

2x = 180° - 2

2x = 178°

x = 178°/2

x = 89°

Now, x + 2 = 89 + 2 = 91°

Therefore, the angles are 89° and 91°.

✦ Try This: Measures (in degrees) of two supplementary angles are consecutive even integers. Find the angles

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

NCERT Exemplar Class 7 Maths Chapter 5 Problem 98

Measures (in degrees) of two supplementary angles are consecutive odd integers. Find the angles

Summary:

Measures (in degrees) of two supplementary angles are two consecutive odd integers. The angles are 89° and 91°.

☛ Related Questions:

• In Fig. 5.52, AE || GF || BD, AB || CG || DF and ∠CHE = 120°. Find ∠ABC and ∠CDE.
• In Fig. 5.53, find the value of ∠BOC, if points A, O and B are collinear.
• In Fig. 5.54, if l ||m, find the values of a and b.