Question

I need help with this question only the answer please if you can

Answer 1

In a triangle, the total measure of all interior angles is 180 degrees. Since we have a right triangle here, one of the angles measures 90 degrees and the rest of the two angles when added must be 90 degrees as well.

So, we can say that 4x + (7x - 20) = 90 degrees.

Our next step here is to solve for x.

`\begin{gathered} 4x+(7x-20)=90 \\ 4x+7x-20=90 \\ \text{Combine similar terms 4x and 7x.} \\ 11x-20=90 \\ \text{Add 20 on both sides.} \\ 11x-20+20=90+20 \\ 11x=110 \\ \text{Divide both sides by 11.} \\ (11x)/(11)=(110)/(11) \\ x\approx10 \end{gathered}`

If x = 10, and measure of angle ABC is 4x, then 4(10) = 40 degrees.

The m∠ABC = 40 degrees. (Option B).