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B. In the figure given below, find the value of the angle x.
Px
70°
602​

B. In the figure given below, find the value of the angle x. Px 70° 602​-example-1
User TinMan
by
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1 Answer

1 vote

Answer:

The value of the angle x is 140°

Explanation:

In the given figure

∵ The figure has 4 sides

∴ The figure is a quadrilateral

∵ The measure of the interior angle of the quadrilateral is 360°

The sum of the angles inside the quadrilateral = 360°

∵ One of the vertices of the quadrilateral has an exterior angle of

measure 90°

∵ The sum of the interior angle and the exterior angle at a vertex = 180°

∴ The measure of the interior angle = 180° - 90°

The measure of the interior angle = 90°

∵ The measures of the interior angles of the quadrilateral are 60°, 70°,

x, 90°

60° + 70° + x + 90° = 360°

→ Add the like terms in the left side

∴ 220° + x = 360°

→ Subtract 220 from both sides

∴ 220 - 220 + x = 360 - 220

x = 140°

The value of the angle x is 140°

User AnnaSm
by
7.5k points

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