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dezoksy [38]
3 years ago
8

two angles are supplementary of the sum is 180. the larger angle measures four degrees more than sevem times the measure of a sm

aller angle. of x represents the measure of the smaller angel and these two angles are supplementary find the measure of each angle.​
Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0

Answer:

22 and 158

Step-by-step explanation:

Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.

  • "the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
  • "x represents the measure of the smaller angle" is represented as x.

x + 7x+4 =180

8x+4=180

8x=176

x= 22

This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158

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The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

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<h3>What is the dilation about?</h3>

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Another way to solve for it is by:

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Since ∠X ≅ ∠A   - given

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Since m∠Z = 90° - m∠X   -- given

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Since m∠B = 90° - m∠A  --- given

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Therefore ΔXYZ ∼ ΔACB are  similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

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XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

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CD = 2*YZ = 2 x 5

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Find the diagram attached.

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