Question

RSM HOMEWORK HELP!!!!!

Answer 1

x = 25

Explanation:

Here's another way to solve this problem.

Start with congruent alternate interior angles of parallel lines AE and BC making m<C = x.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Angle ADB is an exterior angle of triangle BCD.

By the theorem above, we have

m<ADB = m<DBC + m<DCB

50 = x + x

50 = 2x

25 = x

x = 25

Answer 2

I believe the answer is 25.

Knowing that at point D is is a straight line and knowing straight lines are 180 degrees, you can do the following.

180 - 50 = 130.

Using the alternate angles theorem, it can be known that both other corners in this triangle are x. This following equation can be established knowing a triangle’s angles have a sum of 180.

180 = 130 + 2x

50 = 2x

x = 25