Question

A gemstone in the shape of a rhombus has the measurements shown. Match the measures with the angles. 2 cm 2 cm 31 90° 31° 2 cm :: 90 :: 64 :: 59 :: 34 ° :: 31

Answer 1

to fin the last angle we have

the sum of all angles of a triangle is 180

then we sum the angles and match to 180

`31+31+x=180`

simplify

`62+x=180`

and solve for x

`\begin{gathered} x=180-62 \\ x=118 \end{gathered}`

we nee the value of the middle

because the point indicated for the angle is only half of this

now

`(118)/(2)=59`

the missing angle is 59°