Classify the following triangle as acute, obtuse, or right.

triangle angles:

is it obtuse?

Acute triangle

Step-by-step explanation:

An acute triangle is one in which all its angles measure less than 90 °.

The triangle of the figure has the angles: 51 °, 51 °, 78 °

Which are all less than 90 °, thus it is an acute triangle.

We discard options A.Obtuse and B.Right because an obtuse triangle has an angle of more than 90 °, and a right triangle has an angle of exactly 90 °, and none of these definitions match the triangle in the image.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47