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Chapter 10: Q.20 (page 545)

Find the value of x.

Short Answer

Expert verified

The value of x is54掳.

Step by step solution

01

Step 1. Given Information.

The figure is shown below.

02

Step 2. Formula used.

The angle sum properties of quadrilateral is as follows:

鈭�A+鈭�B+鈭�D+鈭�C=360掳

03

Step 3. Calculation.

According to angle sum properties of quadrilateral,

鈭�A+鈭�B+鈭�D+鈭�C=360掳

Substituting the value of angles,

x+2x+18掳+x掳+2x+18掳=360掳6x+36掳=360掳6x=360掳鈭�36掳6x=324掳

This implies that,

x=54掳

Angles are;

鈭�A=鈭�C=x掳=54掳

And,

鈭�B=鈭�D=2x+18掳=126掳

04

Step 3. Conclusion.

The value of x is54掳.

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Most popular questions from this chapter

The height of trapezoid is 2 feet. One of the bases is three times the height, and the other base is four times the height. Find the area of the trapezoid.

Tell whether the figure is a polygon. If it is a polygon, classify it and tell whether it is a convex or concave. If not, explain why.

The ratio of the angle of a triangle is7:16:22. Find the angle measures. Then classify the triangle by its angle measures.

Find the value of x. Then classify the triangle by its angle measures.

The ration of the side lengths of a triangle is3:3:4. Classify the triangle by its side lengths.

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