Question

The sum of the two opposite angle of a parallelogram is 150°. Findi the measure of any one of the other two angles.

Answer 1

Answer:

∠b = ∠d = 105°

Step-by-step explanation:

The sum of all angles of a parallelogram is 360°

Let the parallelogram be ABCD and sum of ∠a and ∠c be 150°

We know that opposite angles of a parallelogram are congruent

Therefore ∠b ≅ ∠d

∠a + ∠b + ∠c + ∠d = 360°

Substitute the values and you get

150 + ∠b + ∠d = 360°

But ∠b ≅ ∠d

Therefore

150 + 2b = 360

2b = 210

b = 105°

Therefore ∠b = ∠d = 105°

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