Question

Solve for x. Find the measure of each identified angle.

Answer 1

3x+33°=10x-2°

35=7x

x=5

Answer 2

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the Concept of Co-interior Angles.

Here, we see that, there is a Transversal Cutting a pair of parallel lines, hence the given angles are alternate angles.

For parallel lines, alternate angles are equal.

hence, we equate them to find the value of 'x'

, so

==> 3x+33 = 10x-2

==> 33+2 = 10x-3x

==> 35 = 7x

==> x = 35/7

==> x = 5°

hence the value of x is 5° .