Question

In the adjoining figure, ABCD is a parallelogram in which A= 75°. Find the measure of B,C and D.​

Answer 1

Answer:

75,105,105

Step-by-step explanation:

According to the property of parallelogram that two opposite angles are equal then :

A = D = 75

according to the property that the sum of two adjacent angles is 180 :

180 - 75

=105 = B

according to first property :

B=C=105

Answer 2

Answer:

$b = 105 {}^{0} c = 75 {}^{0} d = 105 {}^{0}$

Step-by-step explanation:

$a + b = 180 {}^{0} (sum \: of \: pair \: adjacent \: angle \: of \: a \: parellelogram)$

$= > b = 180 {}^{0} - a$

$= > b = 180 {}^{0} - 75 {}^{0}$

$= > b = 105 {}^{0}$

Again

$b + c = 180 {}^{0}$

$= > c = 180 {}^{0} - 105 {}^{0}$

$so \: \: c = 75 {}^{0}$

Again

<B =<D (opposite angles of parellelo

gram are equal

$so \: \: \: d = 105 {}^{0}$