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belka [17]
1 year ago
11

Find the measure of the exterior angle x

Mathematics
1 answer:
Ksivusya [100]1 year ago
3 0

The measure of the exterior angle x is 90°.

We need to find the measure of the exterior angle x.

<h3>What is the exterior angle theorem formula? </h3>

An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.

Now, x°=∠A+∠B

⇒x°=30°+60°=90°

Therefore, the measure of the exterior angle x is 90°.

To learn more about the exterior angle visit:

brainly.com/question/2406986.

#SPJ1

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for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers b
marusya05 [52]

The sum of all the even integers between 99 and 301 is 20200

To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.

In this case, the first even integer will be 100 and the last even integer will be 300.

nth term of the AP = first term + (n-1) x common difference

               ⇒    300 = 100 + (n-1) x 2

Therefore, n = (200 + 2 )/2 = 101

That is, there are 101 even integers between 99 and 301.

Sum of the 'n' terms in an AP = n/2 ( first term + last term)

                                                = 101/2 (300+100)

                                                = 20200

Thus sum of all the even integers between 99 and 301 = 20200

Learn more about arithmetic progressions at brainly.com/question/24592110

#SPJ4        

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