Maths-

General

Easy

Question

# Find the value of x y and z from the given figure.

Hint:

### using the sum of angles in a triangle find the value of X , using the sum of angles on a straight line find

the value of Z .Now ,using the sum of angles in a triangle find the value of Y.

## The correct answer is: ∠ X = 38° , ∠ Y = 64° and ∠ Z = 96°

### Step 1 :- Find X

∠ X + 58° + 84°= 180°(sum of angles in triangle)

∠ X = (180 - 142 )° = 38°

∴∠ X = 38°

Step 2:- Find Z

∠ Z + 84°= 180°(sum of angles on a straight line)

∠ Z = 180° -84° = 96°

∴∠ Z = 96°

Step 3:- Find Y

∠ Z + ∠ Y + 20°= 180°(sum of angles in triangle )

∠ Y = 180 - (20+96) = (180-116)° = 64°

∴ ∠ Y = 64°

Step 2:- Find Z

Step 3:- Find Y

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