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Chapter 1: Q15. (page 31)

Given the diagram, tell whether you can reach the conclusion shown.

If m鈭�DAX=70, find the measure of 鈭�XAB.

Short Answer

Expert verified

The value of m鈭�XAB=20掳.

Step by step solution

01

Step 1. Observe the given figure.

The 鈭�DAXrepresents itself as the part of 鈭�DABand the value of m鈭�DAB=90掳. The 鈭�XABis another part of 鈭�DAB.

02

Step 2. Make an equation by using the observation.

As both the angles 鈭�DAXand 鈭�XABrepresents itself as the part of 鈭�DABso it can be said that the addition of these two angles will be equal to 鈭�DAB. By using this information make an equation.

m鈭�DAX+m鈭�XAB=90掳

03

Step 3. Determine the value of m∠XAB.

Substitute the given value of m鈭�DAXinto the obtained equation after it perform the simplification.

70掳+m鈭�XAB=90掳m鈭�XAB=90掳鈭�70掳m鈭�XAB=20掳

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