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^(∘).
