Answer:
Triangle 1: x = 80 degrees, acute
Triangle 2: x = 10 degrees, right
Step-by-step explanation:
Triangle 1:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:

Solve for x:

So, x = 80 degrees
Because all the angles are less than 90 degrees, this is an acute triangle.
Triangle 2:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):

Solve for x:

So, x = 10 degrees
Because there is an angle measuring 90 degrees, this is a right triangle.
Answer:
c
Step-by-step explanation:
im pretty sure its c. every other one is wrong except a and c. and the placement for a is wrong. so i think c.
Area of circle = πr^2
60=πr^2
we need to find radius (r)
so we solve for r
r^2=60/π
r=√(60/π)
r= 4.37
9514 1404 393
Answer:
60
Step-by-step explanation:
The exterior angles of the polygon are the supplement of the interior angles, so are ...
180° -174° = 6° . . . . measure of each exterior angle
The sum of exterior angles is 360°, so ...
n(6°) = 360°
n = 360°/6° = 60
The polygon has 60 sides.