Question

An isosceles triangle has an angle that measures 134°. Which other angles could be in that isosceles triangle?

Answer 1

`23^(o)` and
`23^(o)`

Explanation:

An isosceles triangle has two of its sides and angles to be equal. Let each of the unknown equal angles be represented by x. Since one of its angles measures 134°, then;

x + x + 134° =
`180^(o)`

2x + 134° =
`180^(o)`

2x =
`180^(o)` - 134°

= 46

x =
`(46)/(2)`

=
`23^(o)`

x =
`23^(o)`

The other angles that could be in the isosceles triangle are
`23^(o)` and
`23^(o)`.