Solve for w solve for x solve for y

w = 58°

x = 32°

y = 16°

Step-by-step explanation:

The triangle on the bottom is an isosceles triangle. They have two equal sides, which we know because two of the sides have a little tick through them.

All isosceles triangles have two equal angles that are not angle contained by the equal sides.

All triangles' interior angles add to 180°.

Using properties of triangles and isosceles triangles, we can find w.

64° + 2w = 180°

2w = 116°

w = 58°

The angle opposite to w is also 58°.

About that right angle, represented by a square: all right angles are 90°. This property is called complementary angles, meaning angles that add to 90°.

That angle is made of 58° + x.

58° + x = 90°

x = 32°

For the triangle on the left, it has an angle that connects to the 64°. Because it forms a straight line with the other angle, it adds to 180°. This property is called supplementary angles. That angle + 64° is 180°.

I will label it "a".

a + 64° = 180°

a = 116°

To find angle 2y, use the property where a triangles' angles add to 180°.

a + x + 2y = 180°

We already know "a" and "x", so we can substitute those values.

116° + 32° + 2y = 180°

2y = 32°

y = 16°

Summary of properties used:

All triangles' interior angles add to 180°

Isosceles triangles have two equal sides and two equal angles

Right angles add to 90°, called complementary angles

Straight lines add to 180°, called supplementary angles

w = 58°

x = 32°

y = 16°

Step-by-step explanation:

there would only be 50 odd numbers between 1 and 100 so therefor there would be 50 even so that would only be 50 odd numbers.

answer: 8

step-by-step explanation: if you add the possibilities 5 different flavor and 3 different sizes 5+3=8