Question

In the figure 10.14,L||m. find angle X angle y and angle z​

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Answer 1

Given :-

• l || m .
• ∠ABC = 40° .
• ∠GFB = 110°.

To Find :-

• ∠x , ∠y and ∠z = ?

Solution :-

→ ∠ABC + ∠ABF = 180° { Linear pair. }

→ 40° + ∠ABF = 180°

→ ∠ABF = 180° - 40°

→ ∠ABF = 140°

so,

→ ∠ABF = ∠BDE { Corresponding angles. }

then,

→ ∠y = 140° (Ans.)

similarly,

→ ∠GFB = ∠FED { Corresponding angles. }

then,

→ ∠x = 110° (Ans.)

therefore,

→ ∠x + ∠z = 180° { Linear pair. }

→ 110° + ∠z = 180°

→ ∠z = 180° - 110°

→ ∠z = 70° (Ans.)

Learn more :-

In ABC, AD is angle bisector,

angle BAC = 111 and AB+BD=AC find the value of angle ACB=?

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