The correct answer is, b=4.
Given Information and To Find
It is given that in a right angled-triangle lmn,
∠m = 90°
∠l = x°
ln = 20 units
lm = 3b units
We have to find the value of b.
What is a right-angled triangle?
A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a right-angled triangle. Trigonometry's fundamental concept is the relationship between a right triangle's sides and other angles.
Applying Trigonometry
We know that in a right angled-triangle,
In this case, we have (refer to the diagram),
⇒
⇒
⇒
⇒
Learn more about a right - angled triangle here:
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The sum of the angles, a, b and c is; 360° because, the sum measures 3 of all the equal angles in the regular hexagon.
<h3>What is the sum of all three angle Measures?</h3>
It follows from the task content that the angle measures given in the task are a, b and c which are in a cyclic polygon (hexagon) in which case, the sum of all 6 angles in the hexagon is; 720.
Consequently, the sum of angle measures; a,b and c is; 720/2 = 360°.
Read more on hexagon;
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Answer:
Step-by-step explanation:
2.96, 3, 3.48, 7, 31