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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°.

Respuesta :

Clockwise from the top left, the angles are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8 are 96°, 84°, 96°, 84°, 56°, 124°, 56°, 124° respectively. Then the correct option is A.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

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

Angle ∠1 and ∠2 are supplement angles.

∠1 + ∠2 = 180°

∠1 + 84° = 180°

        ∠1 = 96°

Similarly, angles ∠7 and ∠8 are supplement angles.

∠7 + ∠8 = 180°

∠7 + 124° = 180°

          ∠7 = 56°

By the property of the opposite angles, we have

∠1 = ∠3 = 96°

∠2 = ∠4 = 84°

∠5 = ∠7 = 56°

∠6 = ∠8 = 124°

Clockwise from the top left, the angles are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8 are 96°, 84°, 96°, 84°, 56°, 124°, 56°, 124° respectively.

Then the correct option is A.

More about the angled link is given below.

https://brainly.com/question/15767203

Answer:

Clockwise from the top left, the angles are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8 are 96°, 84°, 96°, 84°, 56°, 124°, 56°, 124° respectively. Then the correct option is A.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

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

Angle ∠1 and ∠2 are supplement angles.

∠1 + ∠2 = 180°

∠1 + 84° = 180°

       ∠1 = 96°

Similarly, angles ∠7 and ∠8 are supplement angles.

∠7 + ∠8 = 180°

∠7 + 124° = 180°

         ∠7 = 56°

By the property of the opposite angles, we have

∠1 = ∠3 = 96°

∠2 = ∠4 = 84°

∠5 = ∠7 = 56°

∠6 = ∠8 = 124°

Clockwise from the top left, the angles are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8 are 96°, 84°, 96°, 84°, 56°, 124°, 56°, 124° respectively.

Then the correct option is A.

More about the angled link is given below.

brainly.com/question/15767203

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