Question

find the measure of the following with the help of figure at the right side​

Answer 1

Answer :-

→ ∠1 = ∠4 (Vertically opposite angle.)

→ ∠2 = ∠8 + ∠12 (Exterior angle is equal to sum of opposite interior angles.)

→ ∠3 = ∠2 (Vertically opposite angle.)

→ ∠4 = ∠1 (Vertically opposite angle.)

→ ∠5 = ∠4 + ∠12 (Exterior angle is equal to sum of opposite interior angles.)

→ ∠6 = ∠8 (Vertically opposite angle.)

→ ∠7 = ∠5 (Vertically opposite angle.)

→ ∠8 = ∠6 (Vertically opposite angle.)

→ ∠9 = ∠4 + ∠8 (Exterior angle is equal to sum of opposite interior angles.)

→ ∠10 = ∠12 (Vertically opposite angle.)

also,

• ∠4 + ∠8 + ∠12 = 180° (Angle sum property.)
• ∠1 + ∠2 + ∠3 + ∠5 + ∠6 + ∠7 + ∠9 + ∠10 + ∠11 = 360° (Sum of exterior angles is equal to 360°) .

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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