Question

in the given figure l m and p q find the measure of angle c​

Answer 1

Answer:

p || q, l || m

First off, 65⁰ is given.

With that, you can find angle a.

a = 65⁰ --- Vertically opposite angles

Now, they have asked only to find angle C.

So, instead of finding b and d, you can directly find c by using the properties of a parellelogram.

In a parellelogram, generally opposite angles and opposite sides are equal.

Here, p and q, m and l are parallel, so we can say that they form a parellelogram.

Hence, C = 65⁰, opposite angles are equal.