Question

1. Value of x in the figure below is:
100
60
a) 20°
b) 40°
C) 80°
d) 160°​

Answer 1

Given :- Value of x in the figure below is : (refer to image for diagram.)

a) 20°

b) 40°

C) 80°

d) 160°

Solution :-

from image we have :-

• Exterior angle = 100° .
• Interior opposite angles = x° and 60° .

we know that,

• By exterior angle theorem if a triangle side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle.

Therefore, we can conclude that,

→ Exterior angle = sum of Opposite 2 interior angles.

→ 100° = x° + 60°

→ x° = 100° - 60°

→ x° = 40° (Ans.) (Option B) .

Hence, value of angle x is equal to 40° .

Learn more :-

ABCD is a rhombus with A = 60° , BC = (3x+5)cm , CD =(6x-10)cm and AC =(3y-1)cm. Find

x and y.

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3.

In the fig, AB || CD,FIND x.(Hint:Prove that AOB-COD).

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