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3 years ago

8

What is the sum of the measures of the exterior angles of this triangle?

2 answers:

fgiga [73]3 years ago

6 0

Answer:

360°

Step-by-step explanation:

We need only remember that the sum of the measures of the interior angles of a triangle is 180°. Angle c and 112° form a pair of "straight angles," so they add up to 180°; as a consequence, Angle c = 180° - 112°, or 68°.

With two of the interior angles now known, we can calculate the third, Angle A: It is 180° less (51° + 68°), or 180° - 119°, or 61°.

That means that the measure of Angle B is 180° - 61° = 119°

Looking at the pair C and 112°, we identify the exterior angle as 112°.

Looking at the pair A and B, or 61° and 119°, we identify the exterior angle as 119°.

Finally, looking at the pair 51° and (180° - 51°), or

51° and 129°, we identify the exterior angle as 129°.

Then the sum of the exterior angles 129° and 119° and 112° is 360°.

madreJ [45]3 years ago

6 0

Answer:

The answer is 360 degrees

Explanation:

I took the test on E d g e n u i t y and it was correct but only because of the other awesome person who answered, so (give them brainliest, not me) I just wanted to confirm

have a greatastic rest of your day!! \(^u^\)

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A bag contains 5 yellow blocks, 2 green blocks and 3 blue blocks. If you choose one block and then another block without putting

Anika [276]

Answer:

The probability that the first block will be green and the second will be yellow is $\frac{1}{9}$ or 0.111.

Step-by-step explanation:

We are given that a bag contains 5 yellow blocks, 2 green blocks and 3 blue blocks.

Also, we choose one block and then another block without putting the first one back in the bag.

<u>Firstly, as we know that Probability of any event is given by ;</u>

Probability of an event = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

SO, <em>Probability that the first block will be green</em> = $\frac{\text{Number of green blocks}}{\text{Total blocks in the bag}}$

Here, Number of green blocks = 2

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So, Probability that the first block will be green = $\frac{2}{10}$

<em>Similarly, Probability that the second block will be yellow</em> =

$\frac{\text{Number of yellow blocks}}{\text{Total number of remaining blocks in the bag}}$

Here, Number of yellow blocks = 5

Total number of remaining blocks in bag = 10 - 1 = 9 blocks {because we haven't put the block back after choosing the first}

So, Probability that the second block will be yellow = $\frac{5}{9}$

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