Question

figure abcd is a rhombus.
what is the value of (x)?

• 13
• 14
• 26
• 28

Explanation:

Identify the geometric relationship

Using the Rhombus Properties knowledge point
In a rhombus, consecutive angles are supplementary because opposite sides are parallel.

$$ m\angle A + m\angle D = 180^\circ $$

Set up the equation

Using the Rhombus Properties knowledge point
Substitute the given expressions for the angles:

$$ (5x + 25) + (7x - 1) = 180 $$

Solve for x

Using the Solving Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Answer:

• (A) 13 (Correct answer)
• (B) 14
• (C) 26
• (D) 28