111k views
3 votes
780
56°
(100°
(x + 48)°

User Sandra K
by
5.9k points

1 Answer

1 vote

Answer:

The Question is Incomplete still What i understood I let you Explain.

x = 78°

Explanation:

Let

m∠ A = 78°

m∠ B = 56°

m∠ C = 100°

m∠ D = (x + 48)°

Be angles of Quadrilateral.

To Find:

x = ?

Solution:

Property of a Quadrilateral sum of the measures of the angle is 360°.

m∠ A + m∠ B + m∠ C + m∠ D = 360°

Substituting above given values we get

∴ 78° +56° + 100° + ( x + 48° ) = 360°

∴ x + 282° = 360°

∴ x = 360° - 282°

∴ x = 78° ........... which the required answer

User AWaddington
by
5.1k points