Three angles of a quadrilateral are 80°, 95° and 112°. Its fourth angle is

Question:

Three angles of a quadrilateral are 80°, 95° and 112°. Its fourth angle is
(a) 78°
(b) 73°
(c) 85°
(d) 100°

Solution:

(b) 73°​

Explanation: 
Let the measure of the fourth angle be xo.
Since the sum of the angles of a quadrilateral is 360o, we have:
80o + 95o + 112o + x = 360o  
⇒ 287o + 
x = 360o ​
⇒ 
x = 73o
Hence, the measure of the fourth angle is 73o.

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Gjdmgjk
March 16, 2023, 6:35 a.m.
Madherchod
Gjdmgjk
March 16, 2023, 6:35 a.m.
Madherchod
Gjdmgjk
March 16, 2023, 6:35 a.m.
Madherchod
Gjdmgjk
March 16, 2023, 6:35 a.m.
Madherchod
Gjdmgjk
March 16, 2023, 6:35 a.m.
Madherchod
,
Feb. 23, 2023, 5:46 p.m.
Very bad
Patience
May 8, 2023, 6:35 a.m.
How
Patrice Knight
Feb. 14, 2023, 3:37 p.m.
Hi esaral.com administrator, Excellent work!
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