Y=78
A polygon has a total of 5 interior angles
In order to find the total amount of angles in a shape you do (the amount of angles - 2)x180 degrees
(5-2(3))180
3x180=540
Add the numbers you know (10+20+30+40+50=150)
540-150=390 and there are 5y altogether so divide 390 by 5 which is 78
∠a is 35° because of vertical angle congruence. ∠b is 55° because one angle is right, so the other two have to add up to 90°, and 90°-35°=55°. ∠c is 110° because it creates a straight angle (180°) with the 70° angle, and 180°-70°=110°.
The 15th term in the given A.P. sequence is a₁₅ = 33.
According to the statement
we have given that the A.P. Series with the a = 5 and the d is 2.
And we have to find the 15th term of the sequence.
So, for this purpose we know that the
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
And the formula is a
an = a + (n-1)d
After substitute the values in it the equation become
an = 5 + (15-1)2
a₁₅ = 5 + 28
Now the 15th term is a₁₅ = 33.
So, The 15th term in the given A.P. sequence is a₁₅ = 33.
Learn more about arithmetic progression here
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Answer
B DID THE TEST
Step-by-step explanation:
YOU WILL DO YOU GOOD LUCK
Answer:
A. 45°
Step-by-step explanation:
The smallest interior angle measure of any regular polygon is that of an equilateral triangle: 60°.
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The corresponding exterior angle measure for interior angle x will be its supplement: 180° -x. This value must be a divisor of 360° 360° is not evenly divisible by 180°-45°=135°.