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NISA [10]
3 years ago
7

in a triangle one of the angles is 100. the measure of the middle angle is 24 more than the measures of the smallest angle .what

are the measures of these two angles
Mathematics
1 answer:
OLEGan [10]3 years ago
7 0
Measure of all angles in a triangle is 180
180-100=80
Middle angle plus smallest angle =80
smallest angle(s) +24=middle angle(m)

s+s+24=80
2s+24=80
2s+24-24=80-24
2s=56
2s/2=56/2
s=28
m=28+24
m=52
smallest angle is 28
middle angle is 52

100+28+52=180
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3 years ago
In trapezoid ABCD, AB ∥ CD , m∠A=90°, AD=8 in, DC=9 in, CB=10 in, and ∠B is acute. Find DB.
kiruha [24]

Answer:

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Consider the sketch attached.

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A right-angled triangle will now be formed between points CBE.

The dimensions of the right-angled triangle will be:

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We will now proceed to find out the length of side EB using the Pythagoras' theorem.

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From the shape, we can find out that another right-angled triangle is made between points DAB.

The dimensions of the triangle are:

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We will now proceed to find out the length of side DB using the Pythagoras' theorem.

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4 years ago
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