Angles which are both supplementary and vertically opposite are
a. 95°, 85°
b. 90°, 90°
c. 100°, 80°
d. 45°, 45°

Solution:

We have to find the angles which are supplementary as well as vertically opposite.

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

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

From the options,

1) considering 95°, 85°

Sum of angles = 95° + 85°

= 180°

The angles 95° and 85° are not equal

Therefore, 95° and 85° are supplementary but not vertically opposite.

2) considering 90°, 90°

Sum of angles = 90° + 80°

= 180°

The angles 90° and 90° are not equal

Therefore, 90° and 90° are supplementary as well as vertically opposite.

3) considering 100°, 80°

Sum of angles = 100° + 80°

= 180°

The angles 100° and 80° are not equal

Therefore, 100° and 80° are supplementary but not vertically opposite.

4) considering 45°, 45°

Sum of angles = 45° + 45°

= 90°

The angles 45° and 45° are equal

Therefore, 45° and 45° are complementary as well as vertically opposite.

✦ Try This: Determine if the angels 45°, 45° are complementary and vertically opposite

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

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NCERT Exemplar Class 7 Maths Chapter 5 Problem 5

Angles which are both supplementary and vertically opposite are: a. 95°, 85°, b. 90°, 90°, c. 100°, 80°, d. 45°, 45°

Summary:

Angles which are both supplementary and vertically opposite are 90° and 90°

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