#### Question

A landscaper is forming an isosceles triangle in a flowerbed using chrysanthemums. She wants m∠A to be three times the measure of ∠B and ∠C. What should the measure of each angle be?

Verified

#### Step 1

1 of 2

We let $m\angle B=m\angle C=x$ so that $m\angle A=3x$.

By Triangle Angle-Sum Theorem, the sum of the measures of the angles of a triangle is 180 so we can write:

$m\angle A + m\angle B+ m\angle C=180$

$3x+x+x=180$

$5x =180$

Divide both sides by 5:

$x=36$

Hence,

$\color{#c34632}{m\angle A= 108\text{\textdegree}}$

$\color{#c34632}{m\angle B=36\text{\textdegree}}$

$\color{#c34632}{m\angle C=36\text{\textdegree}}$

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