NatalijaU590721 NatalijaU590721
  • 03-11-2022
  • Mathematics
contestada

Find the measure of the numbered angles in the rhombus (m1, m2, and m3).

Respuesta :

MichelineR2735 MichelineR2735
  • 03-11-2022

The diagonals of a rhombus intersect at right angles. So, the m<1 is 90 degrees.

The diagonals of a rhombus bisect each vertex angle.

Therefore, the angle of vertex of 24 degree angle angle is 24x2=48.

The opposite angle of 48 degree angle is also 48 degrees. Since the angle is bisected by diagonal,m<2=24 degree.

The sum of opposite angles, 48+48=96.

The sum of other two equal opposite angles, 360-96=264.

The half of 264 is one angle, So, 264/2=132. Again <3=132/2=66.

m<1=90, m<3=66, m<2=24

Ver imagen MichelineR2735
Answer Link

Otras preguntas

Can someone pretty please help me? The problem: Write about a real-world situation that can be solved using a two-step equation.
Why did Mesopotamian farmers set up irrigation systems
Which document was designed by the forefathers to protect a U.S. citizen's unalienable individual rights? the Federalist Papers the Declaration of Independence
Melinda paints 7/8 of a wall in 1 1/6 hours. What pat of a wall does Melinda paint in 1 MINUTE?
Order from greatest to least 2.007; 2.714; 2.09; 2.97
Which of the following statements about Truman's fair deal is true ?
What factors would affect the length of a day?How would the length of the day affect the temperature?
which ocean contains many icebergs
Express the ratio or rate as a fraction in simplest form 35 out of 149
Whats 0.00009999 closest to ?? 0,1/2,or 1 ? Why