Answer:
if I'm not wrong I think it's B
Answer:
The base angles are 36° each
Step-by-step explanation:
An isosceles triangle is a triangle that has two of its sides and base angles to be equal.
If an isosceles triangle has a vertical angle of 108°, then the base angles will share the remaining angle in the triangle equally.
Since the sum of angles in a triangle is 180°
The remaining angle in the triangle = 180°-108°
= 72°
Since the base angles are equal, this remaining two angles will share angle 72° equally.
The base angles = 72°/2
The base angles = 36°
This shows that the base angles are 36° each.
A diagram of parallelogram MNOP is attached below
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
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