Question

find ( mangle h ) in rhombus ( hijk ).
( mangle h = square^{circ} )

Explanation:

Step1: Use rhombus consecutive angle property

Consecutive angles in a rhombus are supplementary, so:
$$(p+81) + 2p = 180$$

Step2: Simplify and solve for $p$

Combine like terms and isolate $p$:
$$3p + 81 = 180$$
$$3p = 180 - 81$$
$$3p = 99$$
$$p = \frac{99}{3} = 33$$

Step3: Calculate $m\angle H$

Substitute $p=33$ into $\angle H$'s expression:
$$m\angle H = p + 81 = 33 + 81$$

Answer:

$114$