Question

In the diagram, the measure of angle 6 is 98°.

1/2
23
4
5 6
87
What is the measure of angle 7?

Answer 1

Instant Answer

Since angle 6 is 98°, we know that angle 5 is also 98° because they are vertical angles and vertical angles are congruent. Now, we know that angle 5 and angle 7 are supplementary angles because they form a straight line. Therefore, the measure of angle 7 is $\boxed{82^\circ}$.

Answer 2

82°

Explanation:

Given:

angle 6 =98°

To find:

angle 7 =?

Solution:

Since angle 6 and angle 7 are linear pairs.

A linear pair of angles is a pair of adjacent angles formed when two lines intersect each other at a single point.

The sum of the angles in a linear pair is always equal to 180°.

In other words, the two angles are supplementary angles.

So,

We can rewrite it as:

98°+angle 7 =180°

Subtract 98° on both sides:

angle 7 = 180°- 98°

angle 7 =82°

Therefore, the measure of the angle 7 is 82°