We know that a landscaper is forming an isosceles triangle in a flowerbed using chrysanthemums. Let's draw a diagram that represent the triangle in the flowerbed.
The landscaper wants m∠A to be three times the measure of both ∠B and ∠C. This means that she wants ∠B to have the same measure as ∠C. Let's introduce a variable, x=m∠C. We can use this variableto express the measure of the other angles.
Angle
Measure
∠A
m∠A=3x
∠B
m∠B=x
∠C
m∠C=x
Let's include this information on the diagram.
We want to know the measure of each angle. To do so, we can use the Triangle Angle-Sum Theorem to set up and solve an equation for x. Recall that this theorem states that the sum of the three angle measures in a triangle is 180^(∘).
