Question

Analyze the diagram below and answer the question that follows.If <1 congruent to <2, what conclusions can you draw about m<3 and m<4?

Answer 1

In geometry, a transversal is a line that intersects two or more other lines. When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles .

It is given that <1 = <2

Then m<3 = m<4, since

$\begin{gathered} <1+m<3=90 \\ <2+m<4=90 \\ <1=<2=x \\ m<3=90-x=m<4 \end{gathered}$

Therefore, m<3 = m<4.