Answer:
152°
Step-by-step explanation:
Intercepted arc is going to be two times the inscribed angle. We can see that angle A is subtended by arc BCD. (See attached picture.)
Step 1: Find angle A.
Angles in quadrilateral add up to 360°.
m∠A + m∠B + m∠C + m∠D = 360°
m∠A + 120° + 104° + 60° = 360°
m∠A + 284° = 360°
m∠A = 76°
Step 2: Find the measure of arc BCD.
Intercepted arc is going to be two times the inscribed angle.
measure of arc BCD = 2 × m∠A = 2 × 76° = 152°
The area of the triangle is 90 m²
Explanation:
Given that the base of the triangle is 15 m
The altitude of the triangle is 12 m
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
where b is the base and h is the altitude
Thus, we have,
and
Substituting the values in the above formula, we get,
Multiplying the terms, we get,
Dividing, we get,
Therefore, the area of the triangle is 90 m²