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Likurg_2 [28]
1 year ago
6

In triangle ABC, AB=10, BC=8, and angle B=30. In triangle KLJ, LJ=20, JK=16, and angle L=30. State whether the triangles are sim

ilar by choosing the correct postulate or theorem below.
AA
SSS
SAS
Not Similar
Mathematics
1 answer:
Margaret [11]1 year ago
6 0

Answer:

They are not similar.

Step-by-step explanation:

In triangle ABC, the angle we are given is in between the two defined sides(AB and BC with angle B). If these triangles were similar, we would see this with the SAS postulate.

In triangle KLJ, the angle is not in between the two sides, so they are not similar according to any of these two postulates.

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angle EFG and angle GFH are a linear pair, m angle GFH= 2n+38 and m angle GFH=2n+38. what are m angle EFG and m angle GFH
motikmotik

Answer:

Part 1) m∠EFG=94°

Part 2) m∠GFH=86°

Step-by-step explanation:

we know that

m∠EFG+m∠GFH=180° -----> by linear pair (given problem)

we have

m∠EFG=3n+22

m∠GFH=2n+38

substitute the values

(3n+22)°+(2n+38)°=180°

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<em>Find the measure of angle EFG</em>

m∠EFG=3n+22

substitute the value of n

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<em>Find the measure of angle GFH</em>

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substitute the value of n

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5 0
3 years ago
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Please Help ASAP!!!!
KIM [24]

Answer:

m\angle M = 98\degree

Step-by-step explanation:

As we know that:

Sum of the measure of all interior angles of a triangle is always 180°.

\therefore (3x-16)\degree+(x+6)\degree+ x\degree = 180\degree\\\therefore (5x-10)\degree = 180\degree\\5x-10 = 180\\5x = 180 + 10\\5x = 190\\x= \frac{190}{5}\\x= 38\\\because m\angle M = (3x-16)\degree\\\therefore m\angle M = (3\times 38 -16)\degree\\\therefore m\angle M = (3\times 38 -16)\degree\\\therefore m\angle M = (114 -16)\degree\\\therefore m\angle M = 98\degree

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Answer:

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