The perpendicular bisectors of sides ac and bc of δabc intersect side ab at points p and q respectively, and intersect each other in the exterior (outside) of δabc. find the measure of ∠acb if m∠cpq = 78° and m∠cqp = 62°.

Step-by-step explanation:

Here, The perpendicular bisectors of sides AC and BC of ΔABC intersect side AB at points P and Q respectively, and intersect each other in the exterior (outside) of

Let L is the mid point of side BC while M is the mid point of side AC.(mentioned on below figure).

Then, In triangles QBL and QLC,

QL=QL,  ( reflexive)

BL=LC, ( by the property of mid points)

And, ( right angles)

Therefore , (SAS)

Thus, ( by CPCT)

But,

Thus,

Now, In ,

⇒=

Similarly,

Then ( by CPCT)

But,

Thus,

Now, In ,

⇒=

Again, In ,

⇒

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