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kodGreya [7K]
3 years ago
8

Find the measures of the interior angles of a triangle whose two exterior angles equal to 120° and 150°

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
7 0

Answer: 30 degrees, 60 degrees and 90 degrees

If one exterior angle is 120, then its interior counterpart is 180-120 = 60.

If another exterior angle is 150, then is interior counterpart is 180-150 = 30

Let x be the missing interior angle. It adds with the other interior angles and all three interior angles of any triangle always add to 180

x+60+30 = 180

x+90 = 180

x+90-90 = 180-90 .... subtract 90 from both sides

x = 90

So the missing interior angle is 90 degrees


vlabodo [156]3 years ago
6 0
30 60 and 90 is your answer
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Answer:

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What is the value of x in the proportion (x-1)/5=(4x+2)/35
neonofarm [45]
(x-1)/5 = (4x + 2)/35

lets start off by multiplying each side by 5

(x-1) = 5(4x + 2)/35

then let's multiply both sides by 35

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now let's distribute the coefficients (5 and 35) into everything in the brackets

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3 years ago
there is an exam worth 145 with 50 questions. Some questions are worth 2 points and some are worth 5 points, how many two point
valentinak56 [21]

Answer:

35 two-points questions.

Step-by-step explanation:

The exam is worth 145 points.

The exam has 50 questions.

Some questions are worth 2 points and;

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Let the number of two-points questions be x and;

The number of five-points questions be y

This creates a simultaneous equation below:

x + y = 50 ... (i)

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Multiplying (i) by 2 and (ii) by 1 we get;

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2x + 5y = 145 ... (ii)

Subtracting (ii) - (i) we get;

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Answer:

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