In the diagram, mZXYZ = 115° and mZWXY = 45°.

In The Diagram, MZXYZ = 115 And MZWXY = 45.

Answers

Answer 1

Step-by-step explanation:

mXYZ+mXYW=180°(being straight angle)

mXYW =180-115

mXYW=65

now,

mXWY+mWXY+mXYW=180°(sum of angle of triangle)

mXWY=180-110

mXWY=70°

hope it helps.

Answer 2

The measure of the angle ∠XWY of the triangle is ∠XWY = 70°

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔXYZ

And , the measure of ∠XYZ = 115°

Now , the measure of ∠WXY = 45°

So , the measure of ∠XYW = 180° - 115° ( angles on a straight line = 180° )

And , the measure of ∠XYW = 65°

Now , the measure of ∠XWY = 180° - ( 45° + 65° ) ( angles in a triangle = 180° )

On simplifying , we get

The measure of angle ∠XWY = 70°

Hence , the angles of the triangle is solved

To learn more about triangles click :

https://brainly.com/question/16739377

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