Question

Read the instructions for this self-checked activity. Type in your response to each question, and check your answers. At theend of the activity, write a brief evaluation of your work.ActivityIn this activity, you will determine whether these two triangles are similar.AхBсPart AAngle C and angle X both measure 135º. Angle B and angle Z both measure 20°. What are the measures of angles Aand Y?

Answer 1

The following steps should be taken in solving the question

Step 1:

First, consider triangle ABC. We are told that angle C measures 135 degrees, and angle B measures 20 degrees. This means only angle A is unknown

To find the measure of angle A, we have to apply the knowledge of the total sum of the angle in any triangle.

It is known that the sum of all the angles in any triangle is 180 degrees, so this means that the sum of angles A, B, and C should be equal to 180 degrees.

Step 2:

Compute the value of angle A, using the above explanation.

Thus:

since

Therefore:

Therefore, the measure of angle A is 25 degrees

Step 3:

Now, consider triangle XYZ. We are told that angle X measures 135 degrees, and angle Z measures 20 degrees. This means only angle Y is unknown

Step 4:

Compute the value of angle Y, using the explanation provided earlier.

Thus:

since Therefore:

<135 +

Therefore, the measure of angle Y is also 25 degrees