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Seamus Kirk
Mathematics
28 October, 00:26
780
56°
(100°
(x + 48) °
+2
Answers (
1
)
Nathaniel Gibbs
28 October, 00:45
0
The Question is Incomplete still What i understood I let you Explain.
x = 78°
Step-by-step 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
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