What is the measure of B?

∠B = 82°

Step-by-step explanation:

To find the measure of B, you have to find the measure of A.

m∠143° + m∠A = 180° because they are a linear pair

m∠A + 143 = 180

Subtract both sides by 143

m∠A = 37

Since you know the measure of angle A, you can find angle B

Angle A, B, and C should add up to 180° as triangles' angles sum up to 180°.

∠B + ∠A + ∠C = 180°

Substitute

∠B + 37 + 61 = 180

∠B + 98 = 180

Subtract 98 from both sides

∠B = 82°

overpriced

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

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etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

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