Question

Help Me please in my home work

Answer 1

x = 157, as due to one angle of the figure being 22, while the other is 45 you are able to do 180 - 45 in order to find the angle within the barriers of the figure. Therefore, 180 - 45 = 135, 135 + 22 = 157

Answer 2

x=157°

Explanation:

opposite angles are equal so the angle opposite the 45° is also 45°

angles around a point add to 360°

so if we take away both the 45° we are left with the two other angles, one of them part of the triangle

360°-45°45°=270°

divide this by 2 to get the 2 angles

270°÷2=135°

angles in a triangle add to 180°

180°-22°-135°=23°

23° is the other angle in the triangle next to x

finally angles on a straight line add to 180°

180°-23°=157°

so x=157°