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Mariana [72]
3 years ago
7

What is the missing angle? Please provide an explanation.

Mathematics
2 answers:
irina [24]3 years ago
5 0

Answer:

64 degrees

Step-by-step explanation:

Lets find the measure of the other angle in the other triangle with measures of 84 and 36.

Since there are 180 degrees in a triangle, we just add the other two angles and subtract from 180:

84 + 36 = 120

180 - 120 = 60

So the measure of the other angle in the other triangle is 60. Since there is a right angle we subtract 60 from 90

90 - 60 = 30

So the triangle with the missing angle has two angles with measures of 86 and 30. Now we add the measures and subtract from 180 again.

86 + 30 = 116

180 - 116 = 64

So the missing angle has a measure of 64 degrees

Phoenix [80]3 years ago
5 0

Answer:

64°

Step-by-step explanation:

all triangles equal 180°

so the first triangle with two angles already know is..

36+84+?=180

120+?=180

180-120=60°

but as you can see when they connect to each other they form 90°

so to find that angle on its own it's (with the triangle with one angle found) it's..

90-60=30°

and as we know all triangles equal 180°, so..

86+30+?=180

116+?=180

180-116=64°

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Answer:

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Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. This means that if a rectangle has sides 3 by 4 its area will be 12. But its image after being dilated by 2 is 6 by 8 or twice the side. Will the area also be twice the size? The area of the image is 6*8 = 48. This is 4 times bigger than 12. Not twice as big. So the similarity of the area is the scale factor squared.

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