Question

plz answer these all question ​

Answer 1

Step-by-step explanation:

1. since angles opposite to equal sides are equal so angleQ = angle R
2. since LM parallel to QR so according to pair of parallel line and transversal rule angle PLM = Angle Q
3. ( same rule applies for this also so. anglePML = angle R
4. since PQ= PR and the points lying on the sides and parallel to the base , it creates two similar triangles so PL = PM therefore angle PLM= PML
5. Since sides opposite to equal angles are equal in a triangle so ∆PLM is also an isosceles triangle

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Answer 2

36°,72°,72°

Step-by-step explanation:

6)Let the vertex angle be x

Then the base angle is 2x

Since,it is an isosceles triangle,the other base angle of the isosceles triangle will also be 2x.

x+2x+2x=180° (angle sum property of a triangle)

5x=180°

x= 180°÷5

=36°

So, vertex angle=36°

base angles are 72° and 72°