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Answer :
The measure of the angle ∠B of the triangle ABC will be 27°.
What is the triangle?
The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
In ∆ABC, if m∠A is seven more than four times m∠B and m∠C is eleven more than m∠B. Then the equations are given as,
∠A = 4∠B + 7 ...1
∠C = ∠B + 11 ...2
∠A + ∠B + ∠C = 180° ...3
From equations 1, 2, and 3, then we have
4∠B + 7° + ∠B + ∠B + 11° = 180°
6∠B = 162°
∠B = 27°
The measure of the angle ∠B of the triangle ABC will be 27°.
More about the triangle link is given below.
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