Ina parallelogram ABCD angle A is 3x-2 and angle C is 2x+23 then the measure of angle A is what
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The measure of angle A = 73°
Step-by-step explanation:
Given data
In a parallelogram ABCD ∠A = (3x - 2)°
∠C = (2x + 23)°
here we need to find the measure of angle A,
for that we will find the value of x
In a parallelogram the opposite side angles are equal
⇒ ∠ A = ∠ C [ ∵ ∠ A and ∠C are opposite side ]
⇒ 3x - 2 = 2x +23
⇒ 3x - 2x = 23 + 2
⇒ x = 25
⇒ the measure of angle A = 3x - 2
= 3(25) - 2
= 75 -2 = 73°
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