Question

Find the value of x. Explain your answer.

Answer 1

Answer:

x = (-9)

Step-by-step explanation:

From the diagram, we see that the triangle is an isosceles triangle. Since it is an isosceles triangle we know that the angles at the base of an isosceles triangle are equal to each other, so the angles that is not marked will be equal to m∠2. Since now we know that, we can make the following equation...

m∠2 + m∠2 + 84 = 180

Now we solve it and get...

2(m∠2) = 180 - 84

2(m∠2) = 96

m∠2 = 48

Now we substitute m∠2 with x + 57, and get...

m∠2 = 48

x + 57 = 48

x = 48 - 57

x = (-9)