Answer:
We get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle
Step-by-step explanation:
we have ∠A = (2x − 30)° and ∠B = 4x, and we need to find measure of larger angle. And ∠A and ∠A are supplementary angles.
If the angles are supplementary there sum is equal to 180° i.e ∠A + ∠B = 180°
So, First we have to find the value of x. and then we can determine larger angle.
We know: ∠A + ∠B = 180
2x-30+4x=180
6x-30=180
6x=180+30
6x=210
x=210/6
x=35
So, value of x is x=35
Now finding ∠A and ∠B
∠A = (2x − 30)°
∠A = (2(35) − 30)°
∠A = (70 − 30)°
∠A =40°
and ∠B = 4x
∠B = 4(35)
∠B = 140°
So, we get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle
