Two adjacent angles of a parallelogram are in the ratio 3:7. Find all the angle of a parallelogram
Answers
Answer:
let ABCD is a parallelogram.Let us consider the angle as X
since a parallelogram has 2 pairs of parallel sides so take any pair say AB and DC and the transversal as BC so sinces a pair of lines is intersected by a transversal so the sum of angles is equal to 180°( angles on the same side of the transversal).
Adding 3x and 7x we get 10x=180°
x=18°
3x is equal to 54° and 7x is equal to 126°
since opposite angles of a parallelogram are equal so the angles can be written as 54°, 126°, 54°, 126°
Hope this helps
pls mark as the brainliest
thank you
Given : the measure of two adjacent angles of a parallelogram are in ratio 3:7 .
To find: the angles of the parallelogram
Solution:
the measure of two adjacent angles of a parallelogram are in ratio 3:7
Let say angles are 3x and 7x
Adjacent angles of a parallelogram are supplementary
Hence sum of measure of adjacent angles is 180°
3x + 7x = 180°
=> 10x = 180°
=> x= 18°
3x = 3(18) = 54°
7x= 7(18) = 126°
angles of the parallelogram are 54° and 126°
opposite angles of parallelogram are equal
Hence remaining two angles are also 54° and 126°
Learn More:
The adjacent angles of a parallelogram are (2x - 4)⁰ and (3x – 1)⁰ ...
brainly.in/question/1346257
the measure of one of the angles of a parallelogram is 130 degree ...
brainly.in/question/3367975
Two adjacent angles of a parallelogram are (2y+100) and (3y-400 ...
brainly.in/question/12577329