Question

find the measure indicated.
1)
2)

Explanation:

Step1: Recall quadrilateral angle sum

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

Step2: Calculate $\angle U$ (figure 1)

Subtract known angles from $360^\circ$.
$\angle U = 360^\circ - 74^\circ - 96^\circ - 74^\circ = 116^\circ$
*Note: $\angle W = \angle U$? No, correction: $\angle V = \angle T$? No, the figure has marked sides: $WV=WT$ and $FV=TU$, so $\angle V = \angle T$? No, actually, for quadrilateral $VWTU$, $\angle V=74^\circ$, $\angle T=96^\circ$, $\angle W = \angle V=74^\circ$ (since $WV=FV$, $WT=TU$, so base angles equal). Wait, correct: sum is $360 = 74 + 96 + 74 + \angle U$ → $\angle U = 360 - 244 = 116^\circ$

Step3: Calculate $\angle F$ (figure 2)

Subtract known angles from $360^\circ$.
$\angle F = 360^\circ - 70^\circ - 66^\circ - 70^\circ = 154^\circ$
*Note: $\angle E = \angle H=70^\circ$, $\angle G=66^\circ$, so sum: $360 - 70 - 70 - 66 = 154^\circ$

Answer:

1. $\angle U = 116^\circ$
2. $\angle F = 154^\circ$