Question

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Answer 1

Answer:

1. 47 + 52 +x = 180

99 + x = 180

x= 180-99

x = 81 degrees

2. Since it is a right angle, one angle is 90 degrees.

90 + 30 + x= 180

120 + x = 180

x = 180 - 120

x = 60 degrees

Hope it helps!

Answer 2

1. The third angle is 81°

2. x= 60°

Explanation:

1. The measure of two angles of a triangle is 47° and 52° then find the Third angle.

Given:

1. Two angles of a triangle is 47° and 52°

To find:

The Third Angle

Formula:

∠A +∠B + ∠C = 180°

let,

∠A = 47°

∠B = 52°

Substitute in the formula

47° +52°+ ∠C = 180°

99° + ∠C = 180°

∠C = 180°- 99°

∠C =  81°

The third angle is 81°

To check whether the answer is correct or not

Sum of the three angle is equal to 180°

∠A +∠B + ∠C = 180°

47° +52°+  81°= 180°

99° + 81° =180°  

180°= 180°  

Hence Proved.

2.  Find the value of the x in the unknown figure

Given:

1. The right angle triangle

2. one of the angle is 30°

To find:

The other angle x

we know that,

In the figure

we have 30° and right angle

The angle is 90°

The sum of the angle is 180°

∠A +∠B + ∠C = 180°

∠A = 30°

∠B = 90 °

∠C = x

30° +90° + x = 180°

120° +x =180°

x =180-120°

x= 60°