Question

# The measure of the opposite angles of a parallelogram are (3x – 2)° and (50 – x)°. Find the measure of each angle of the parallelogram.

Solution

## For the given parallelogram ABCD, m$\angle$B = (3x – 2)°, m$\angle$ = (50 – x)° (3x – 2)° =  (50 – x)°      (Opposite angles of a parallelogram are congruent) 4x = 52 x = 13 So, the measures of the different angles are m$\angle$D = (50 – x)° = (50 – 13)° = 37° m$\angle$B = 37° m$\angle$A +  m$\angle$D = 180°                (Sum of adjacent angles of a parallelogram is 180°) m$\angle$A = 143° m$\angle$C = m$\angle$A                            (Opposite angles of a parallelogram are congruent) ∴ m$\angle$A  = m$\angle$C = 143° m$\angle$B  = m$\angle$D= 37°MathematicsMathematics(2013)Standard VIII

Suggest Corrections

0

Similar questions
View More

Same exercise questions
View More