In the parallelogram ABCD, M angle A =2x +50 and m angle C= 3x + 40. The measure of ZA is
1 answer:
Answer:
∠A = 70°
Step-by-step explanation:
I'm... guessing this is what you mean? It would've been helpful if you'd provided pictures.
Since all parallelograms consist of two pairs of vertically opposite angles, ∠A and ∠C are equivalent.
Which means that 2x + 50 = 3x + 40.
In which you solve the equation.
2x + 50 = 3x + 40
-2x -2x
50 = x + 40
-40 -40
x = 10
Now, to find ∠A, substitute x into the equation:
∠A = 2x + 50
x = 10
∠A = 20 + 50
∠A = 70
Hence, ∠A = 70°
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Answer:
The angles are used to prove the similarity of triangles VWZ and YXZ.
Step-by-step explanation:
Given information:
Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.
If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.
From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.
(Vertically opposite angles)
(Given)
By SAS rule of similarity
Therefore the angles are used to prove the similarity of triangles VWZ and YXZ.