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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

Respuesta :

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

[tex]31+31+x=180[/tex]

simplify

[tex]62+x=180[/tex]

and solve for x

[tex]\begin{gathered} x=180-62 \\ x=118 \end{gathered}[/tex]

we nee the value of the middle

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

now

[tex]\frac{118}{2}=59[/tex]

the missing angle is 59°

Ver imagen DayleN542551

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