Measure of Pairs of Angles: Calculate the measure for 160 degrees
or
20 degrees
or
180 degrees
or
90 degrees

The angle vertical to 160 is also 160.

So you have 320

You have 320 out of a full circle, 360.

If there's two angles left, equal to each other

Then they each would be 20 degrees.

I'm not sure what you tried to solve for but I guess this is a simple rundown of the image.

The remaining angles are 20°, 160° and 20°

Step-by-step explanation:

Since a circle has 360° and one angle is know, the remaining angles can be found.

Angle U = 160° and the angle in the opposite side must be equal to Angle U so the angle opposite to U is 160° as well.

The remaining two angles are equal to each other and since the total degrees must be 360° and 2 angles are known, we can solve for the remaining angles.

Let's say the remaining angles are values "x".

360° must equals 160° + 160° + x + x

360 = 160 + 160 + x + x

360 = 320 + 2x

40 = 2x

x = 20

The remaining two angles are 20°

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).