Question

if these two figures are similar, what is the measure of the missing angle? work it out

Explanation:

Step1: Recall angle - sum property of a quadrilateral

The sum of interior angles of a quadrilateral is $360^{\circ}$.

Step2: Identify known angles

The known angles in the first quadrilateral are $110^{\circ}$, $35^{\circ}$, and $35^{\circ}$.

Step3: Calculate the missing angle

Let the missing angle be $x$. Then $x = 360-(110 + 35+35)$. First, calculate the sum of the known angles: $110+35 + 35=180^{\circ}$. Then $x=360 - 180=180^{\circ}$.

Answer:

$180$