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.
The length is 24 because 768 is the are and to find area you would do length x width but in this case the width has already been told so you have:
32 X____=768
so you do 768÷32= 24 so that's your answer sorry for such a long explanation which probably wasn't necessary but oh well!
There is no congruence between the triangles based on the given information. In general, two sides and an angle not between them are insufficient to specify the triangle completely. In this case, the angles that are congruent are adjacent to non-corresponding sides, so even if SSA correspondence were sufficient to ensure congruence, it would not be sufficient in this case.
The appropriate choice is
... none
Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:
-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6
x = -8
Now substitute that to ABD
-4(-8) +33
32 +33
=65
here’s CBD
2(-8) + 81
-16 + 81
=65
Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.
ANSWERS: (angles)
ABD and CBD: 65
ABC: 130
