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as we know that the sum of angles of a triangle is 180
here,
angle A + angle B =110
angle A + angle C= 135
now,
180 = (angle A + angle B) - angle A + (angle A + angle C)
180= 110 + 135 - angle A
180 - 110 - 135 = angle A
180-245 = - angle A
- 65 = - angle A
65= angle A
i hope this will help you
Answered by
2
Answer:
∠A = 65°
Step-by-step explanation:
Given:
∠A + ∠B = 110
∠A + ∠C = 135
Adding these together gives
( ∠A + ∠B ) + ( ∠A + ∠C ) = 110 + 135 = 245
=> ∠A + ( ∠B + ∠A + ∠C ) = 245
=> ∠A + 180 = 245 [ since sum of angles in triangle is 180° ]
=> ∠A = 245 - 180 = 65
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