One angle of a rhombus is 40° less than its adjacent angle. Find all the
angles of the rhombus
Answers
Answer:
Angles are equal to 70°
Step-by-step explanation:
X + X + 40 = 180 [Sum of angles of rhombus]
2X = 140
X = 70°
Given : One angle of a rhombus is 40° less than its adjacent angle.
To Find : all the angles of the rhombus.
Solution:
One angle of a rhombus is 40° less than its adjacent angle.
Assume that two adjacent angles are
x° , x° + 40°
Rhombus is a a parallelogram with all sides Equal
In a parallelogram Adjacent angles are supplementary
Hence they adds up to 180°
an opposite angles are equal
x° + x° + 40° = 180°
=> 2x° = 140°
=> x°= 70°
x° + 40° = 70° + 40° = 110°
Hence all the angles of the rhombus are
70° , 110° , 70° and 110°
Learn More:
Two adjacent angles of a parallelogram are (2y+100) and (3y-400 ...
brainly.in/question/12577329
one angle of a parallelogram is images 75 degree find the measures ...
brainly.in/question/7569084