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What is the measure of Angle4?

mAngle4 = 40°
mAngle4 = 48°
mAngle4 = 132°
mAngle4 = 140°

Sagot :

The measure of Angle 4; m∠4 = 40°.

Define angle.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

Angles 6 and 7 are vertical angles that are opposite to each other. As vertical angles are congruent:

11x + 8 = 12x - 4

11x - 12x = -4 - 8

-x = -12

Therefore, x = 12

Now,

m angle 6 = (11 * 12 + 8)° =140°

m angle 7= (12 * 12 - 4)° = 140°

Angles 6 and 8 are supplementary angles that add up to 180°

Therefore,

m angle 8= 180°  - 140°  = 40°

Angles 8 and 4 are corresponding angles, As corresponding angles are congruent:

m angle 4= 40°

To know more about angle, visit:

https://brainly.com/question/28451077

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