Q. 45.0( 3 Votes )
In 
, if 
+
=108°and
+ 
=130°,Find 
,
and
.
Answer :
=50°, 
=58°,
=72°
Given,
+
= 108° ___________________ (i)
+ 
= 130° ___________________ (ii)
We know that sum of angles of triangle = 180°
∠A + ∠B + ∠C = 180° [Sum of angles]
∠A + 130°= 180° [From equation (ii)]
⇒ ∠A = 50°
Value of ∠A = 50° put in equation (i),
+
= 108°
⇒ 50° +
= 108°
⇒ 
= 58°
Value of ∠B = 58° put in equation (ii),
+ 
= 130°
⇒ 58° +
= 130°
⇒ 
= 72°
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