Question

In triangle abc angle c is 50 and angle a exceeds by angle b by 44 find angle a

Answer 1

Step-by-step explanation:

Let angle a be X and angle b be Y

In triangle ABC:

X+Y+Angle c=180 (Angle Sum Property)

X+Y+50=180

X+Y=130-------> 1

Also, angle a exceeds  angle b by 44.This can be represented as:

X-Y=44------->2

From 2:

X=44+Y

Substituting this in 1,we get:

44+Y+Y=130

2Y=86

Y=43 degrees.

Substituting the value of Y in 2,we get;

X=87 degrees.

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