Question

In this fig, find the value of x and y.

Answer 1

Answer:

value of y is 60° and x is 75°

Step-by-step explanation:

here JLM + y = 180° { linear pair }

120°+y = 180°

y=60°

In TRIANGLE JKL

angle J +Angle K +Angle L =180°( angle sum property )

45°+x+ 60° =180°

x= 180° -105°

x =75°

Answer 2

☘️ Solution :

First let's find the value of y !

Value of y :

→ y + 120° = 180°

(Linear pair)

→ y = 180° - 120°

→ y = 60°

So, now let's find the value of x!

Value of x :

→ Angle J + Angle K + Angle L = 180°

(Angle sum property)

→ 45° + x + y = 180°

→ 45° + x + 60° = 180°

→ x + 105° = 180°

→ x = 180° - 105°

→ x = 75°

.°. value of x = 75° and y = 60°

Verification :

→ Angle J + Angle K + Angle L = 180°

→ 45° + x + y = 180°

→ 45° + 75° + 60° = 180°

→ 180° = 180°

.°. LHS = RHS

Checked!

_____________________________

☘️ Final answer :

• Value of x = 75°
• Value of y = 60°