Question

What is the measure of ∠RST ?



Enter your answer in the box.

Answer 1

100 because 40 plus 40 is 80 and 80 subtracted by 180 is 100 so your answer is 100.

Answer 2

`{\angle}RST=100^(\circ)`

Explanation:

Given: It is given that in triangle RST,
`{\angle}R=40^(\circ)`and
`{\angle}T=40^(\circ)`.

To find: The measure of
`{\angle}RST`.

Solution: It is given that in triangle RST,
`{\angle}R=40^(\circ)`and
`{\angle}T=40^(\circ)`.

Using the angle sum property of triangles, we have

`{\angle}SRT+{\angle}RTS+{\angle}RST=180^(\circ)`

Substituting the given values, we have

`40^(\circ)+40^(\circ)+{\angle}RST=180^(\circ)`

`80^(\circ)+{\angle}RST=180^(\circ)`

`{\angle}RST=180^(\circ)-80^(\circ)`

`{\angle}RST=100^(\circ)`

Hence, the measure of the
`{\angle}RST` is
`100^(\circ)`.