Answered

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Question 4 4.1 Determine the value of c in the diagram. 65% c 4.2 Determine the value in the diagram. x-20° 84° (3) Statement Statement Reason Reason​

Question 4 41 Determine The Value Of C In The Diagram 65 C 42 Determine The Value In The Diagram X20 84 3 Statement Statement Reason Reason class=

Sagot :

varshamittal029

The value of c is 25° and x is 116°.

From figure 1, we can see hat the entire angle is given to be 90°. This angle is divided into 2 parts, one is 65° and the other is c

This means that-

65 + c = 90

c = 90 - 65

c = 25

Thus, the value of c is 25°.

Now, in the 2nd figure, we can see that both the horizontal lines are parallel and a transversal is drawn between them.

Both the angles thus formed are opposite interior angles and are hence supplementary.

Therefore, (x - 20) + 84 = 180

x - 20 = 180 - 84

x - 20 = 96

x = 96 + 20

x = 116

Thus, the value of x is 116°

Learn more about interior angles here-

https://brainly.com/question/24839702

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