Ncircle y, what is m∠1?
6°
25°
31°
37°

31

Step-by-step explanation:

add the 2 angles given

37 + 25 = 62

then take half of that 62/2 = 31

angle 1 = 31 degrees

To solve this, we find the measure of the base using the the formula for the area of a triangle. Then plug both of these into the Pythagorean theorem to solve for the hypotenuse.

Area of a triangle = 1/2 * base * height
270 = 1/2 * 15 * base
270 = (15 / 2)(base)
270(2 / 15) = base
540 / 15 = base
36 = base

Now, we plug into the Pythagorean Theorem of a² + b² = c² where a and b are the legs of the triangle (AKA the base and height) and c is the hypotenuse.

15² + 36² = c²
225 + 1296 = c²
1521 = c²
√c² = √1521
c = √1521
c = 39

The length of your hypotenuse is 39 meters.