Kebeniakhonkeidn
Answered

IDNLearn.com is designed to help you find the answers you need quickly and easily. Ask anything and get well-informed, reliable answers from our knowledgeable community members.

in the diagram, CD || EF, G, -70° and HI - HG. Calculate the values of x, y and z ​

In The Diagram CD EF G 70 And HI HG Calculate The Values Of X Y And Z class=

Sagot :

MrRoyalidn

The measures of the angles are x = 40, x = 110 and y = 70

What are angles?

Angles are formed when two or more lines intersect

How to calculate the values of x, y and z?

The figure represents the given parameters

On the figure, we have the following highlights

Angle 3 and angle y are corresponding angles.

Corresponding angles are congruent

So, we have

y = Angle 3

From the figure

Angle 3 = 70

So, we have

y = 70

The angle on a straight line is 180 degrees

So, we have

x + y = 180

This gives

x + 70 = 180

Evaluate the like terms

x = 110

The triangle is an isosceles triangle.

So, we have

y = Angle 2

This means that

Angle 2 = 70

The sum of angles in a triangle is 180

So, we have

z + y + Angle 2 = 180

This gives

z + 70 + 70 = 180

Evaluate

z = 40

Hence, the measures of the angles are x = 40, x = 110 and y = 70

Read more about angles at

https://brainly.com/question/7620723

#SPJ1

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.