Question

1. in the rhombus shown, $\angle 2 = 3x$, find the value of $x$. \

\bigcirc a. 90 \
\bigcirc b. 45 \
\bigcirc c. 30 \
\bigcirc d. 60

Explanation:

Step1: Recall rhombus diagonal property

In a rhombus, the diagonals are perpendicular bisectors of each other, so the angles formed by the diagonals are right angles (90°). Thus, \( \angle 2 = 90^\circ \).

Step2: Solve for \( x \)

Given \( \angle 2 = 3x \) and \( \angle 2 = 90^\circ \), we set up the equation \( 3x = 90 \).
Divide both sides by 3: \( x=\frac{90}{3}=30 \).

Answer:

C. 30