Question

NEED HELP someone,anyone, please help im sturggling

Answer 1

a.) a right triangle would have 2 acute angles.
b.) there would be 0 obtuse angles.
c.) there would be 1 right angle.

In the diagram you can see a little black box in one of the corners of the triangles. That box means the angle is a right, 90 degree angle. Since an acute angle is an angle that is less than 90 degrees, and since all three angles would have to add up to 180 degrees, you know that the other two angles are acute angles.

Answer 2

10. 1 right 2 acute 0 obtuse angles

11. x=6

Explanation:

10. A triangle has 3 angles.

If it is a right triangle is has 1 right angle which is 90 degrees.

90 + x+y = 180 where x and y are the other 2 angles

Subtract 90 from both sides

x+y = 90

So the 2 angles that are left can only add to 90.

An obtuse angle is greater than 90 degrees, so we cannot have an obtuse angle. Acute angles are less than 90 degrees.

A right angle is 90 degrees. If one of the angles left is 90 degrees, the other one is zero, and that does not make a triangle.

So we must have 1 right angle and 2 acute angles (no obtuse angles)

11. Since the 2 sides are the same the triangle is isosceles. That means the two angles have the same measurements.

90 + y+y = 180

y+y=90

2y = 90

y = 45

Each angle must equal 45 degrees

7x+3 = 45 degrees

Subtract 3 from each side

7x+3-3 =45-3

7x =42

Divide each side by 7

7x/7 =42/7

x =6