Question

3. In figure 2.7, line 1 || line m and
line n || line p. Find angle a, angle b, angle c from
the given measure of an angle. Fig 2.7​

Answer 1

CORRECT QUESTION :-

★ In figure 2.7 , line l || m and line p || n. Find ∠a , ∠b and ∠c From the given measure of an angle.

TO FIND :-

• The value of ∠a , ∠b and ∠c .

SOLUTION :-

• [ Refer to the attachment for the better understanding ]

→ ∠1 = 45°

Reason :- corresponding angles.

→ ∠1 + ∠b = 180°

Reason :- Linear pairs.

→ 45° + ∠b = 180°

→ ∠b = 180° - 45°

→ ∠b = 135°

Now,

→ ∠a = 135°

Reason :- vertically opposite angles.

→ ∠c = 135°

Reason :- corresponding angles.

Hence,

• [ ∠a = 135°, ∠b = 135° and ∠c = 135°.]