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Given:

To find:

The value of x and measure of angle A

Solution:

Alternate interior angle theorem:

If two parallel lines cut by a transversal, then the alternate interior angles are congruent.

⇒ m∠A = m∠B

Add 18° on both sides.

Subtract 3x from both sides.

Divide by 2 on both sides.

⇒ x = 30°

Substitute x = 30° in ∠A.

m∠A = 5x - 18°

       = 5(30°) - 18°

       = 150° - 18°

       = 132°

The measure of ∠A is 132°.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

step-by-step explanation:

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