The sum of the bottom interior angles is equal to the sum of the given exterior angles at the apex. (Both sums differ from 180° by the size of the interior apex angle.)
The angle labeled x is 51°.
The angle labeled x is 51°.
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<u>Given</u> -
- If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,
<u>To find</u> -
- m∠2.
<u>Concept</u> -
Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.
<u>Solution</u> -
m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°
Henceforth, m∠2 = 39°
The length of the wall is approximately 16.7ft high.
To solve this problem, we would use trigonometric ratios.
The sine angle between any two body is the ratio between the opposite and hypotenuse.
Data given;
- angle = 68 degree
- hypotenuse = 18 foot
- opposite = ?
From the above calculation, the length of the wall is approximately 16.7ft
Learn more on trigonometric ratio here;