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In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°.

A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.

What is the measure of angle 7?

In The Diagram The Measure Of Angle 8 Is 124 And The Measure Of Angle 2 Is 84 A Transversal Intersects 2 Lines To Form 8 Angles Clockwise From The Top Left The class=

Sagot :

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Answer:

208°

Step-by-step explanation:

To find the measure of angle 7, we can use the property that the sum of interior angles on the same side of the transversal is 180 degrees.

Given:

- Angle 2 = 84°

- Angle 8 = 124°

Since angle 2 and angle 8 are a linear pair (forming a straight line), their sum is 180 degrees:

Angle 2 + Angle 8 = 180°

84° + 124° = 180°

Now, we know that the sum of angles 2, 3, 4, 5, 6, and 7 is also 180 degrees. Angle 2 and angle 8 cover 84° + 124° = 208°, leaving 180° - 208° = -28° for angles 3, 4, 5, 6, and 7.

To find the measure of angle 7, we need to subtract the measures of angles 3, 4, 5, and 6 from 180 degrees:

Angle 7 = 180° - (-28°)

Angle 7 = 180° + 28°

Angle 7 = 208°

Therefore, the measure of angle 7 is 208°.