Important:
The sum of the three angles inside
every triangle is always 180°.
First, look at the left triangle alone.
Two of its angles are 46° and 58° . (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'.
x = 76° .
At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But x = 76°.
So z = (180° - 76°). z = 104° .
Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and z = 104°.
(13° + 104°) = 117° .
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
y = 63° .
Answer:
4.71
Step-by-step explanation:
Area of shaded sector formula: r2(data)(pi)/360
Substitute the info into the formula
(60)(pi)/360
9(60)=540
540/360(pi)=4.71
Hope this helps! :)
The perimeter of the polygon will be (2x + 2xy + y + xz). Then the correct option is D.
<h3>What is a polygon?</h3>
The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The figure is given below.
The sides of the polygon are given as x, y, xz, x, xy, and xy.
Then the perimeter of the polygon will be
The perimeter of the polygon is given as the sum of all the sides of the polygon.
Then the perimeter will be
P = x + y + xz + x + xy + xy
P = 2x + y + 2xy + xz
More about the polygon link is given below.
brainly.com/question/17756657
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