Question

In the right triangle ABC angles B and C are congruent. What is the measure of B and C?

Answer 1

Step 1:

In this question, we are given the following:

Step 2:

From Triangle ABC, we have that:

`\begin{gathered} A=90^0(Right\text{ angle)} \\ B\text{ = x} \\ C\text{ = x} \\ \text{Because Angles B and C are congruent} \end{gathered}`
`\begin{gathered} 90^0+x+x=180^0 \\ 90^{0\text{ }}+2x=180^0 \\ \text{collecting like terms, we have that:} \\ 2x=180^0-90^0 \\ 2x=90^0 \\ \text{Divide both sides by 2, we have that:} \\ \text{x = }(90^0)/(2) \\ \text{x = 45}^0 \end{gathered}`

CONCLUSION:

The measure of B and C are: 45 and 45 degrees --- OPTION A