Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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?

Read The Instructions For This Selfchecked Activity Type In Your Response To Each Question And Check Your Answers At Theend Of The Activity Write A Brief Evalua class=

Sagot :

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

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.