Question

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

Answer 1

VALUE OF X=$40°$

APPLYING RULE-:Sum of opposite 2 interior angle =1 exterior angle

ACQ

$60°+x=>100$

$x=>100°-60°=>40°$

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Answer 2

Value of angle x is 40°.

Option (b) is correct.

Step-by-step explanation:

Given:

• A figure.

To find:

• Find the value of angle x°.
• a) 20°
• b) 40°
• c) 80°
• d) 160°

Solution:

Theorem to be used:

External angle theorem:In a triangle external angle is equal to sum of two opposite internal angles.

Step 1:

Apply external angle theorem.

${100}^{ \circ} = {60}^{ \circ} + {x}^{\circ}$

Step 2:

Solve for x.

${x}^{\circ} = {100}^{\circ} - {60}^{\circ}$

or

$\bf\: {x}^{\circ} = {40}^{\circ}$

Thus,

Value of angle x is 40°.

Option (b) is correct.

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