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A system of equations needs to be created.

Complimentary means that the two angles equal to 90 degrees.

The first equation will be x + y = 90

The second equation will be x + .5y = 69.5

Using the elimination method multiply the first equation by -1

This will leave us with -x - y = -90

Add the second x + .5y = 69.5

X is eliminated

When adding -y = -90 and .5y = 69.5 we are left with:

-.5y = -20.5

Divide by -.5

y = 41 This is the second angle

Substitute 41 for y in the first equation

x + 41 = 90

x = 49 This is the first angle

To check substitute both numbers into the second equation

49 + .5(41) = 69.5

49 + 20.5 = 69.5

69.5 = 69.5 Or Given the sum of the first angle and the half of the second angle is 69.5, means that the second angle is 2(90 - 69.5) = 41. Therefore, the first angle is (90 - 41) = 49.

Q: Two angles are complimentary The sum of the measures of the first angle and half the second angle is 69.5 degrees Find the measures of the angles?

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55 degrees

90 degrees and 78 degrees since one of the angles must be 90 degrees. We have 90+32=122 which is the second angle. Now the sum of the angles is 180 so 180-122=78 which is the third angle.

The sum of the measures of the angles of a triangle is 180 degrees. First, calculate the sum of the two known angles. Then subtract that result from 180. That difference is the measure of the third unknown angle. Given: One angle of a triangle is 15 degrees and the second angle of the triangle is 85 degrees. To find: We need to find the third angle of the triangle. Let the third angle of the triangle be x. We know that the sum of the angles in a triangle is 180 degrees. ==> 15 degrees + 85 degrees + x degrees = 180 degrees. ==> 100 degrees + x degrees = 180 degress. ==> x = 180 degrees - 100 degrees. ==> x = 80 degress. Therefore the third angle of the triangle is 80 degrees.

C.120

41

Related questions

If two angles are supplementary, and one angle measures 30 degrees, then the second angle must measure 150 degrees. This is because by definition if two angles are supplementary, then they must up to 180 degrees.

120

"Complimentary" means "adds to 90°" x is the first angle, so (90-x) must be the other x + (90-x)/2 = 87.75 x + 45 - (x/2) = 87.75 (x/2) = 42.75 x = 85.50° ◄ Other angle must be 4.50° ◄ Check it: 85.50 + (4.50/2) = 87.75 85.50 + 2.25 = 87.75 ■

55 degrees

the other angle has to be 120 degrees, so that both angles add up to 180 degrees.

90 degrees and 78 degrees since one of the angles must be 90 degrees. We have 90+32=122 which is the second angle. Now the sum of the angles is 180 so 180-122=78 which is the third angle.

There are infinitely many such shapes. For example, a hexagon with interior angles measuring 110, 130, 100, 110, 130, 140 degrees. There is one pair of opposite angles each measuring 110 degrees, and a second pair in which each measures 130 degrees.

90 - 87 = 3 (half of the second angle)3 x 2 = 6 degrees (the second angle)90 - 6 = 84 degrees (first angle)

Two angles are supplementary and one of them is 30 degrees what is the measurement of the second house

The sum of the measures of the angles of a triangle is 180 degrees. First, calculate the sum of the two known angles. Then subtract that result from 180. That difference is the measure of the third unknown angle. Given: One angle of a triangle is 15 degrees and the second angle of the triangle is 85 degrees. To find: We need to find the third angle of the triangle. Let the third angle of the triangle be x. We know that the sum of the angles in a triangle is 180 degrees. ==> 15 degrees + 85 degrees + x degrees = 180 degrees. ==> 100 degrees + x degrees = 180 degress. ==> x = 180 degrees - 100 degrees. ==> x = 80 degress. Therefore the third angle of the triangle is 80 degrees.

you have two unknowns: angle one (which we can call x), and angle 2 (which we can call y)when you have 2 unknowns, you need to set up 2 equationssince they are complimentary, you know that 90 = x + ywe know that the second is 5 times the first, so x = 5yif we substitute 5y for x in the first equation, we get: 90 = 5y + y = 6y90/6 = 15. we now know that 15 is the measure of angle 2All we need to do know is 90-15, which equals 75 to get are measure for angle 1

Let's assume the measure of the first angle is x degrees. The second angle is one-third as large as the first, so its measure is (1/3) * x = x/3 degrees. The third angle is two-thirds as large as the first, so its measure is (2/3) * x = 2x/3 degrees. Therefore, the measures of the angles in the triangle are x degrees, x/3 degrees, and 2x/3 degrees.