Question

In the parallelogram ABCD, M angle A =2x +50 and m angle C= 3x + 40. The measure of ZA is

Answer 1

∠A = 70°

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°