Quadrilateral
Y
C
M
V
≅
YCMV≅ quadrilateral
A
U
T
K
AUTK. If
m
∠
C
=
12
1
∘
m∠C=121
∘
, find
m
∠
U
m∠U.
Since YCMV is congruent to AUTK, we know that their corresponding angles are equal in measure. Therefore, m∠C = m∠U = 121∘.
To find the measure of angle U in quadrilateral AUTK, we need to use the fact that opposite angles in a parallelogram are congruent.
Since YCMV and AUTK are congruent quadrilaterals, angle C in YCMV is congruent to angle U in AUTK (opposite angles).
Given that m∠C = 121°, we can conclude that m∠U = 121° as well. Therefore, the measure of angle U in quadrilateral AUTK is 121 degrees.