Given that AUVW=AXYZ, what is the measure of ZY?
AV
70°
70°
OA. 180°
OB. 40°
O C. 90°
OD. 70°
![Given that AUVWAXYZ what is the measure of ZY AV 70 70 OA 180 OB 40 O C 90 OD 70 class=](https://us-static.z-dn.net/files/d8b/3a587ab0b0a0aba0a1bbd0a3e3cde70a.png)
The value ∠y is 40⁰. So the correct option is option B
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Here, given that; ΔUVW ≅ ΔXYZ
∠u = ∠x = 70⁰
∠v = ∠y = a⁰
∠w = ∠z = 70⁰
We know that,
Sum of angles of a triangle is 180⁰.
∠x + ∠y + ∠z = 180⁰
70⁰ + a⁰ + 70⁰ = 180⁰
a⁰ + 140⁰ = 180⁰
a⁰ = 180⁰ - 140⁰
a⁰ = 40⁰
Thus, the value ∠y is 40⁰.
Learn more about Congruency of triangle from:
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