Question

May someone help me please.

Answer 1

Answer:

123.6

Step-by-step explanation:

Split the trapezium into a rectangle and triangle, so that you can find the x part of the angle inside the triangle and add 90 degrees to it to find the whole thing. The long side of the triangle is 12.5 cm and if you subtract 16cm from 24.3 cm you find the short side to be 8.3 cm. Then use the fact that tangent(theta) = opposite / adjacent to get tan(theta)=8.5/24.3. Then to find theta( the angle) do theta = tan^(-1) (8.5/24.3) also known as theta = arctan(8.5/24.3). The answer comes out to be 33.58. Then add 90 to that to get the full value of the angle x. Which is 123.58 or to one decimal place, 123.6. Hopefully this makes sense.