Answer:
This is simple. The answer is 60 for the first, and the second one I believe is 85
Step-by-step explanation:
Since we are dealing with quadrilaterals, we know that all the inside angles add up to 360. In your isosceles trap. the top two angles are the same, and the bottom two are the same. So, we can do 120*2=240 for the top angles, and then subtract that from 360. 360-240=120. 120/2=60
Hope it helps
Answer:
A. 37.5°
Step-by-step explanation:
∠SPT can be considered an inscribed angle in the circumcircle. In that circle, arc ST would have a measure of 360°/8 = 45°. Angle y° is half that measure, so is 22.5°.
The external angles of a regular octagon are 360°/8 = 45°, so that is the measure of angles UTW and UVW. It is also the amount by which reflex angle TUV exceeds 180°.
The sum of the interior angles of quadrilateral TUVW is ...
45° +225° +45° +3x° = 360°
Then 3x° = 45° and x° = 15°.
Then the sum of interest is ...
x° + y° = 15° + 22.5° = 37.5°
Answer:
PST=80
Step-by-step explanation:
So we know that angle R=130 and because this is a parallelogram we can assume angle SPQ also equals 130 and knowing that we can find that angle RQP and RSP are equal both equal to 50 and since we know that RSP=50 we know SPT is also 50 because of alternate angles. SPT is an equilateral triangle so we also know that angle T is 50 degrees. All triangles degrees equal 180 so we can set up the problem the angle SPT(50) + the angle STP(50) + The angle PST(x) = 180 50+50=100 so it is 100+x=180 -100 PST(x)=80
