Answer : The value of angle B and angle D is 25⁰ and 35⁰ respectively.
Step-by-step explanation :
As we know that the opposite angles are equal in parallelogram.
According to the given figure,
∠A = ∠C
and
∠B = ∠D
Given:
∠B = (3n - 5)⁰
∠D = (2n + 15)⁰
From this we conclude that:
∠B = ∠D
(3n - 5)⁰ = (2n + 15)⁰
3n - 5⁰ = 2n + 15⁰
3n - 2n = 15⁰ - 5⁰
1n = 10⁰
n = 10⁰
∠B = (3n - 5)⁰ = (3×10 - 5)⁰ = 25⁰
∠D = (2n + 15)⁰ = (2×10 + 15)⁰ = 35⁰
Therefore, the value of angle B and angle D is 25⁰ and 35⁰ respectively.
