Answer:
The other 2 angles are 28 and 62 degrees.
Step-by-step explanation:
The sum of all the angles of a triangle is always equal to 180 degrees.
If two angles are known the third can be found out.
A right angled triangle always has an angle equal to 90 degrees.
If the base is 15 and the perpendicular is 8 and the hypotenuse is 17
then
Tan theta= Perpendicular/base
Tan theta= 8/15
theta = tan⁻¹ 8/15
theta = 28.072
The third angle is 28 degrees which is less than 90 degrees and is acute
This can also be obtained by
cos theta= base / hypotenuse
cos theta= 15/17
theta= cos⁻¹ 15/17
theta= 28.072
Now summing up
90+ 28 + x= 180
x= 180-118
x= 62
The third angle is 62 degrees which is also less than 90 degrees.
