Question

Find the value of y if m∥ n​

Answer 1

$y = {180}^{o} \: - {135}^{o} \\ y \: = {45}^{o} \\ reason \: - sum \: of \: interior \: opposite \\ angles \: is \: {180}^{o}$

Answer 2

Given :-

$\bigstar$ line m is || line n and line t is a transversal.

$\bigstar$ ∠ 135° is given

$\bigstar$ ∠ y is given .

Property :-

$\bigstar$ If two lines are parallel and have a single transversal then the internal angles are supplementary. ( the measurements of those angles are 180 °)

SolutiOn :-

line m is || line n and line t is a transversal.

so ,

∠ 135° + ∠ y = 180°

$\longrightarrow$ y = 180 - 135

$\longrightarrow$ y = 45°

therefore ,

The measurement of angel y is 45°

Note :-

You have to know the properties of internal angles , corresponding angles etc....

______________________