M<2 = m<3
but
m<1 + m<2 = 180
4x + 36 + <span>3x – 3 = 180
7x + 33 = 180
7x = 147
x = 21
m<2 = </span><span>3x – 3
m<2 = 3(21) - 3
m<2 = 63 - 3
m< 2 = 60
m<3 = m<2 = 60
answer
</span><span>60°</span>
We are given:
- Parallelogram CDEF
- ∠C = 13x - 10
- ∠D = 5x + 10
To Find: ∠E
Concept Used:
- Adjacent angles of a Parallelogram are Supplementary
Finding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
__________________________________________________________
Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
__________________________________________________________
Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
Answer:
SHe put the decimal point in the wrong spot, it's suppose to be 43.89
Step-by-step explanation:
10 chickens lay 2 eggs each. But 2 chickens lay 3 eggs each
Step-by-step explanation:
the answer is in the image above
