m∡A = 70º
1) Considering that the Sum of the interior angles within a triangle is always 180º
2) We can write the following, and solve for x
x+80 + x +80 +40 = 180
2x +160 +40 = 180
2x + 200 = 180
2x =180-200
2x= -20
x=-10
3) So since angle A = x +80, we can plug it into that the value of x
m∡A = x +80º
m∡A=-10+80
m∡A = 70º
Answer:
Q.1.
Sum of angles of a triangle = 180°
∠A + ∠B + ∠c = 180
(3x - 9) + (4x + 15) + 90 = 180
3x - 9 + 4x + 15 + 90 = 180
7x + 96 = 180
7x = 84
x = 12
∠A = 3x - 9 = 3(12) - 9 = 36 - 9 = 27°
∠B = 4x + 15 = 4(12) + 15 = 48 + 15 = 63°
∠A = 27°
∠B = 63°
Q.2.


x = 14
y = 60°
Answer:
∠ YVZ = 56°
Step-by-step explanation:
∠ WVZ = 90° ( given ), thus
∠ WVY + ∠ YVZ = 90, substitute values
2x + 3x + 5 = 90
5x + 5 = 90 ( subtract 5 from both sides )
5x = 85 ( divide both sides by 5 )
x = 17
Thus
∠ YVZ = 3x + 5 = 3(17) + 5 = 51 + 5 = 56°
Answer:
Option A: 2338.3 cm² is the correct answer.
Step-by-step explanation:
Given that:
The given figure is a regular hexagon.
Length of side = 30 cm
Area of a hexagon is given by;
Area = 
Putting a=30 in the formula
Area = 
Area = 
Area = 
Area = 2338.26 cm²
Rounding off to one decimal place,
Area = 2338.3 cm²
Hence,
Option A: 2338.3 cm² is the correct answer.
Answer:it should be D
Step-by-step explanation: he was a MAJOR player in by creating so many poems, music, and other arts. He was a huge player and created something else too. He pioneered jazz as well.