Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the measure of the three missing angles in the rhombus below. 107°…

Question

find the measure of the three missing angles in the rhombus below. 107° answer attempt 1 out of 1 x = y = z =

Explanation:

Step1: Use rhombus opposite angles property

In a rhombus, opposite angles are equal. So $x = 120^\circ$.

Step2: Use consecutive angles sum to 180°

Consecutive angles in a rhombus are supplementary. Calculate $z$:
$z = 180^\circ - 120^\circ = 60^\circ$

Step3: Use opposite angles property for $y$

Opposite angles are equal, so $y = z = 60^\circ$.

Answer:

$x = 120$, $y = 60$, $z = 60$