Question

Find the measures of other angles for the rhombus below

Answer 1

`\begin{gathered} m<1=35 \\ m<2=55 \\ m<3=35 \\ m<4=55 \\ m<5=35 \\ m<6=55 \\ m<7=35 \\ m<8=90 \\ m<9=90 \\ m<10=90 \\ m<11=90 \\ \end{gathered}`

The diagonlas are perpendicular! Thus the angles 8,9,10 and 11 have a measure of 90 each one!

Now, we complete 1 by the propertie of triangles! 55°+m<8+m<1=180

Then we know that 55° and m<7 are complementary, that is, their sum is 90°, 55° + m<7=90°, with that we complete the other angles!