Question

Given RS ||TU, m<7 =3x-10 and m<3 = (2x plus 5)

Answer 1

According to the graph, angles 7 and 3 are corresponding angles, which means they are equal.

$m\angle7=m\angle3$

Replacing the given expressions, we have

$3x-10=2x+5$

Now, we solve for x

$\begin{gathered} 3x-2x=10+5 \\ x=15 \end{gathered}$

Then, we use this value to find angle 7.

$m\angle7=3x-10=3\cdot15-10=45-10=35$

The diagram shows that angle 7 is equal to angle 1 because they are alternate exterior angles.

Hence, angle 1 measures 35°. The right answer is C.