Answer:70 degrees and 150 degrees
Step-by-step explanation: The angles of a quadrilateral add up to 360. So the sum of the two angles is 360 - (55+ 85) = 220.
After that you can model the sum of the angles with an equation:
7x + 15x = 220
22x = 220
x = 10
then you plug in x for each angle 7(10) = 70 and 15(10) = 150
Answer:
Area of the whole rectangle = 11 x 12
= 132 cm^2
Area of the circle = πr^2
= 3.14 x 2 x 2
= 12.56 cm^2
Area of the shaded region = area of rectangle - area of circle
= 132 - 12.56
= 119.44 cm^2
Hope this helps!
Angle-5 and angle-7 are 'vertical angles', so they're equal,
and we can write ...
<u>10x- 9 = 9x</u>
Subtract 9x from each side: x - 9 = 0
Add 9 to each side: <u> x = 9</u>
Now that we know what 'x' is, we can find the size of Angles-5 and -7 .
Angle-7 = 9x = 81° .
Now look at Angle-6 ... the one that's the answer to the problem.
Angle-6 and -7 together make a straight line, so they must
add up to 180°.
<u>Angle-6 + 81° = 180°</u>
Subtract 81° from each side: Angle-6 = <em>99° .</em>