Question

Can someone help me with this please thank you.​

Answer 1

So basically to find an angle of a polygon you have to use the rule of sum of the interior angles of a polygon which is ‘(n - 2)x180’
- whereas the n stands for the number of sides the shape has
Then find the x angle by subtracting the sun of the other angles so;

1. (4-2)x180=360
360 - 99 - 93 - 64 = 104
2.(5-2)x180=540
540 - 82 - 114 - 90 - 122 = 132
3. 180 - 50 - 20 = 110
4. (6-2)x180=720
720 - 92 - 145 - 136 - 102 - 133 = 112

However the last question is a bit tricky since we have to find the exterior angle but it’s the same because (attached photo)
5. (4-2)x180=369
360 - 88 - 75 - 92 = 105

Answer 2

1) 104

2) 132

3) 110

4) 112

5) 105

Explanation:

These questions involve the sum of interior and exterior angles.
for the first 4 questions,

Use the formula: (n-2)*180-(sum of remaining angles)

For example q1, it has 4 angles

So substitute 4 into n

(4-2)*180=360

64+99+93+x=360

x=104°

(Do the same for q2-4)

For q5,

Sum of exterior angles of ANY polygon=360°

Therefore,

88+75+92+x=360

x=105°

Pls double check the answers yourself with a calculator, hope you find it helpful! :)