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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 :

MrRoyal

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

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