Question

3. Using the diagram below, answer the following questions. Remember, you must

Answer 1

Using vertical angles, it is found that:

A. The solution for y is of y = 4.

B. The angle measures are given as follows:

• <A = 66º.

• <C = 114º.

• <D = 114º.

Vertical Angles

If two angles are opposite by the same vertex in crossing segments, these angles are called vertical angles, and they are congruent, that is, they have the same measure.

In the context of this problem, the angles of 6y + 42 and of 66 are vertical, hence the value of y is calculated as follows:

6y + 42 = 66

6y = 24

y = 24/6

y = 4.

Angles A and C are supplementary, meaning that the sum of their measures is of 180º, hence:

<C + 66º = 180º

<C = 180º - 66º

<C = 114º.

Angles C and D are vertical, hence the measure of angle D is calculated as follows:

<D = 114º.

More can be learned about vertical angles at brainly.com/question/1673457

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