Question

Solve this equation for 10 points.

Answer 1

42°

Explanation:

Since it is an isosceles triangle, the base angles are equal. Let the base angles be
`x`.

Hence, $x+x+48=180$, since sum of internal angles in ∆ABC is 180°.

Hence, $x=132/2=66°$

In ∆PBC,

`PB=PC\\</p><p>\implies m\angle PBC= m\angle PCB`

But,
`\angle ABD= \angle PBC =(1)/(2) m\angle ABC =24°\\</p><p>\implies m\angle PCB=24°\\</p><p>Now,\\</p><p>m \angle ACB= m\angle PCD + m\angle PCB\\</p><p>\implies m\angle PCD= 66-24=42°`