Question

in the figure value of X is (a) 120 degree (b) 140 degree (c) 160 degree (d) 130 degree​

Answer 1

Answer:

140 degrees

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Answer 2

Value of x is 140°.

Option b is correct.

Given:

• A figure.

To find:

• Find the value of x.
• (a) 120°
• (b) 140°
• (c) 160°
• (d) 130°

Solution:

Concept to be used:

• The angle sum of internal angles of a quadrilateral is 360°.
• On a straight line, sum of angles are 180°.

Step 1:

Find the angle measure of $\angle \: BAD$.

As it is clear form the figure;

ABE is a straight line, it is given that

$\angle EAD = {90}^{ \circ}$

So,

$\bf \angle BAD = {90}^{ \circ}$

Step 2:

Find the value of x.

According to the property of quadrilateral;

${60}^{ \circ} + {90}^{ \circ} + {70}^{ \circ} + x = {360}^{ \circ}$

${220}^{ \circ} + x = {360}^{ \circ}$

$x = {360}^{ \circ} - {220}^{ \circ}$

$\bf x = {140}^{ \circ}$

Thus,

Value of x is 140°.

Option b is correct.

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