Question

Please help me solve this

Answer 1

Given :-

• Two parallel lines intersected by a transversal .

To Find :-

• The angle .

Solution :-

As we know that when two parallel lines is intersected by a transversal then the corresponding angles are equal . Here 15x - 5 and 14x +4 are corresponding angles . So ,

$\red\longrightarrow$ 15x - 5 = 14x + 4

$\red\longrightarrow$ 15x - 14x = 5+4

$\red\longrightarrow$ 15x - 14x = 9

$\red\longrightarrow$ x = 9

Hence the angle is ,

$\red\longrightarrow$ 14x + 4

$\red\longrightarrow$ 14(9) + 4

$\red\longrightarrow$ 126 + 4

$\red\longrightarrow$ 130°

Hence the required answer is 130° .

Answer 2

Explanation :

15x - 5 and 14x +4 are corresponding so we have to do it like,

↣ 15x - 5 = 14x + 4

↣ 15x - 14x = 5+4

↣15x - 14x = 9

↣ x = 9.

Hence the angle is ,

↣14x + 4

↣14(9) + 4

↣ 126 + 4

↣ 130°

Hence the required answer is 130° .