Question

In the figure, m∠1=m∠2 = 22 and m∠3 = m∠4 = 123. Find m∠TSK.

Choices:
33
35
45
22

Answer 1

35 because the two angles are added 22 and 123 = 145. 145-180=35

Answer 2

`m<TSK=35\°`

Explanation:

we know that

The sum of the internal angles of a triangle must be equal to
`180` degrees

so

In the triangle STK

`m<1+m<3+m<TSK=180\°`

we have

`m<1=22\°`

`m<3=123\°`

substitute and solve for m<TSK

`22\°+123\°+m<TSK=180\°`

`m<TSK=180\°-(22\°+123\°)=35\°`