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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?
56°
84°
96°
124°

Sagot :

Guineveremain0153idn

Answer:

124°

Step-by-step explanation:

To determine the measure of angle 7 in the given diagram where angle 8 is 124° and angle 2 is 84°, we can use the properties of alternate interior angles formed by a transversal intersecting two parallel lines.

Given:

- Angle 8 = 124°

- Angle 2 = 84°

Solution:

- Angle 8 and angle 2 are supplementary angles since they form a linear pair (180°).

- Therefore, angle 8 + angle 2 = 180°

- 124° + 84° = 208°

In a transversal intersecting two parallel lines:

- Angle 7 and angle 8 are alternate interior angles.

- Alternate interior angles are congruent when the lines are parallel.

Since angle 8 is 124°, angle 7 will also be 124°.

Therefore, the measure of angle 7 is 124°.

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