Question

In the given figure AB and AC are opp. rays angle BAD =5x-30
angle CAD = 2x
find the value of x and angle BAD​

Answer 1

Answer:

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Answer 2

Answer:

Measure of x is 30 and ∠BAD is 120°.

Step-by-step explanation:

CD is a straight line. Which means ∠CAD and ∠BAD are linear pair.

Linear pair is a pair of adjacent angles, their sum is 180°.

Measure of ∠CAD = 2x°

Measure of ∠BAD = (5x - 30)°

According to linear pair theorum, angles in a linear pair are supplementary.

$\longrightarrow$ 2x + (5x - 30) = 180

$\longrightarrow$ 7x - 30 = 180

$\longrightarrow$ 7x = 180 + 30

$\longrightarrow$ 7x = 210

$\longrightarrow$ x = 210/7

$\longrightarrow$ x = 30

Value of x = 30

★ Measure of ∠BAD :

$\longrightarrow$ 5(30) - 30

$\longrightarrow$ 150 - 30

$\longrightarrow$ 120°

Measure of ∠BAD = 120°

Therefore, measure of x is 30 and ∠BAD is 120°.