The total area is 407.4262m²
Option B. 55° is the correct answer
Step-by-step explanation:
"The sum of interior angles of a triangle is always 180°"
Given
m∠A=(3x+1)°
m∠B=(2x-1)°
m∠C = 40°
We know that
m∠A+m∠B+m∠C=180°
Putting the values of angles

Subtracting 40 from both sides

Dividing both sides by 5

We have to find Angle B,
So
m∠B = 2x-1 = 2(28)-1 = 56-1 = 55°
Hence,
m∠B=55°
Option B. 55° is the correct answer
Keywords: Triangle, Interior angles
Learn more about triangles at:
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The approximate area in square feet of the sides panel is 146.4 feet.
<h3>
Area = 1 / 2 bh</h3>
where
b = base
h = height
Therefore, let's find the height and the base using trigonometric ratios.
sin 30 = opposite / hypotenuse
sin 30° = h / 26
cross multiply
h = 26 × 1 / 2
h = 13 ft.
Let's find the base using Pythagoras theorem.
b² = 26² - 13²
b² = 676 - 169
b = √507
b = 22.5166604984
b = 22.52 ft
Area = 1 / 2 × 22.52 × 13
Area = 292.76 / 2
Area = 146.38 ≈ 146.4 ft
learn more on right angle triangle here: brainly.com/question/20999524?referrer=searchResults