The measurement of fourth angle is: 130°
Further explanation:
Let A, B, C and D be the four angles.
m∠A=105°
m∠B=80°
m∠C=45°
We know that the sum of interior angles of a quadrilateral is 360°
So,
m∠A+m∠B+m∠C+m∠D=360°
105°+80°+45°+m∠D=360°
230°+m∠D=360°
m∠D=360°-230°
m∠D=130°
The measurement of fourth angle is: 130°
Keywords: Quadrilateral, Interior angles
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1/4 the probability of the 1st coin is 1/2 for landing on tails and for the second coin, the probability is 1/2 for it not to land on tails so u do 1/2* 1/2 and u get 1/4
Answer: 8
Step-by-step explanation: You would have to divide 828/9. The answer would be 92. You would then subtract this number from 100 pages to get your answer.
Cos(2x) = cos^2(x) - sin^2(x) - cos(x)
but sin^2(x) = 1 - cos^2(x)
cos(2x) - cos(x) = cos^2(x) - (1 - cos^2(x) ) - cos(x)
cos(2x) - cos(x) = cos^2(x) - 1 + cos^2(x) - cos(x)
cos(2x) - cos(x) = 2cos^2(x) - 1 - cos(x)
cos(2x) - cos(x) = (2cos(x) + 1)(cos(x) - 1)
I think this is what you have asked for.
2x+4=10
2x=6
x=3
2(3)+4= 10
(plus, on parallelograms like that, parallel sides are equal to each other)