1.

AP and CP are bisectors of a and c respectively and l parallel to M find the measure of angle APC

Answer»

∠APC = 90°

Step-by-step explanation:

Given:

Here AP and CP are the bisectors of A and C respectively and ALSO L parallel to M.

∠LAC + ∠ACM = 180°   [co INTERIOR angles]

Dividing both the SIDES by 2, we get

\frac{\angle LAC}{2}+\frac{\angle ACM}{2} =\frac{180}{2}

∠LAC + ∠ACP = 90°         [Given]          [1]

Now, in Δ ACP

∠PAC + ∠ACP + ∠APC = 180°   [Angle SUM PROPERTY]

90° + ∠APC = 180°

∠APC = 180° - 90°

∠APC = 90°


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