Question

What is the value of x?

Answer 1

Answer:

D

Step-by-step explanation:

The diagonals of a rhombus intersect at right angles. So sneaky!!

So the third angle of the triangle containing the two base angles is 90 degrees.

• 2x + 3 + 3x + 2 + 90 = 180            Combine like terms
• 5x  + 95 = 180                                Subtract 95 from both sides
• 5x = 180 - 95                                  Combine the terms on the right.
• 5x = 85                                           Divide by 5
• x = 85/5
• x = 17