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ICE Princess25 [194]
1 year ago
8

Two angles are complementary. two times the measure of one is equal to 40% of the measure of the other. find the measure of both

angles.
Mathematics
1 answer:
Nostrana [21]1 year ago
8 0

The measure of both angles are 112.5 and 68.5 degrees

<h3>Complementary angles</h3>

The sum of two complementary angles is 90 degrees.

If two angles are complementary, then;

x + y = 90

x = 90 - y..........1

where x and y are the angles

If  two times the measure of one is equal to 40% of the measure of the other then;

2x = 0.4y ............2

Substitute equation 1 into 2

2(90-y) = 0.4y

180 - 2y = 0.4y

180 = -0.4y + 2y

1.6y = 180

Divide both sides by 1.6

1.6y/1.6 = 180/1.6

y = 112.5 degrees

For the other angle

x= 180 - y

x = 180 -112.5

x = 68.5 degrees

Hence the measure of both angles are 112.5 and 68.5 degrees

Learn more on complementary angles here: brainly.com/question/16281260

#SPJ1

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Bas_tet [7]
Hey there! I’m happy to help!

We see that the two equal sides are longer than the base. This means that our a will be larger than b. The problem says that one of the longer sides is 6.3. Since the two longer sides are equal, that means that both longer sides are 6.3 cm. Therefore, we can simply subtract these two from the perimeter to find the shorter side, which is the base.

15.7-6.3-6.3=3.1

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3 years ago
In the figure, AB∥CD. Find x and y.
velikii [3]

Answer:

y=131°

x=53°

Step-by-step explanation:

∠ ABD and ∠ BDC are supplementary.

The sum of the supplementary angles =180 °

thus y-4+x=180...........i

x and 37° are complementary, that  is, they add up to 90°

Thus, x=90-37=53°

Using this value in equation 1 we obtain:

y-4°+53° =180°

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8 0
3 years ago
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marishachu [46]

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Step-by-step explanation:


6 0
3 years ago
12p &lt; 96<br> A. p &lt; 8<br> B. p &lt; 108<br> C. p &lt; 84<br> D. p &gt; –8
inessss [21]

Solution:

<u>Note that:</u>

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<u>Dividing both sides by 12:</u>

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blagie [28]

Answer:

A is correct because 1 and 3 are vertical angles.

B is correct because there are 180 degrees in a triangle. 180-65-55 = 60. Angle 2 is vertical to the third angle, so angle 2 equals 60.

C is incorrect because it is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 ≠ 60.

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In review, A, B, and D are correct.

I hope this helps you =)

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