Question

find the mesures of unknown angle in the given figured below guys please help​

Answer 1

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Given:

In the given quadrilateral ABCD.

∠ A = 81°

∠ B = x°

∠ D = 100°

∠BCE = 121°

∠BCD is to be find if we have to find ∠B

***Named the quadrilateral accordingly to complete the question

To find:

∠ B = ?

Solution:

∠BCD and ∠BCE are the linear pair of angles

As we know, linear angles are equal to 180°

∠BCD+ ∠BCE = 180°

∠BCD + 121° = 180°

∠BCD = 180° - 121°

∠BCD = 59°

All angles of quadrilateral is equal to 360°

∠A + ∠B + ∠BCD+ ∠D = 360°

81° + x° + 59° + ∠D = 360°

140° + x° = 360°

x° = 360° - 140°

x° = 220°

Required answer:

Thus, the measure of unknown angle in the given quadrilateral is 220°

Knowledge booster:

# Quadrilateral is the figure with four sides and measure of all angles of quadrilateral is equal to 360°.Example: Parallelogram, rectangle, square etc

# Angles in a straight line that is linear pair of angle is equal to 180°

# Solve more such questions to get good hold on it.