Question

Inthe given parallelogram DRUM, QUR=40° Find URD and DMU​

Answer 1

Answer:

URD =DMU=50

Step-by-step explanation:

in || gm ∆ QRU is formed thus applying A.S.P.

the angle qru becames 50° .

by the property of ||gM

URD=DMU=50°

pls wait I may be wrong

Answer 2

${ \underline{ \underline{ \huge{ \mathfrak{ \red{Question:-}}}}}}$

▪ In the given parallelogram DRUM , ∠ QUR = 40° . Find ∠URD and ∠DMU.

${ \underline{ \underline{ \huge{ \mathfrak{ \red{Solution:-}}}}}}$

${ \orange{ \bold{ \underline{Given-}}}}$

▪ Quadrilateral DRUM is a parallelogram

▪ ∠QUR = 40°

▪ ∠UQR = 90°

▪ ∠USM = 90°

${ \orange{ \underline{ \bold{ Find-}}}}$

▪ ∠URD = ∠URQ = ???

▪ ∠DMU = ??

${ \bigstar{ \bold{ \underline{ \pink{ \: \: \: In \: triangle \: QUR}}}}}$

using the angle sum property of triangle....

${ \boxed{ \bold{ \red{ \: \: sum \: of \: all \: 3 \: angles \: = 180 \: \: }}}}$

here,

∠QUR + ∠URQ + ∠UQR = 180°

=》 40° + ∠URQ + 90° = 180°

=》 ∠URQ + 130° = 180°

=》 ∠URQ = 180° - 130°

=》 ∠URQ = ∠URD = 50°

____________________________________

${ \bigstar{ \bold{ \underline{ \pink{ \: \: DRUM \: is \: a \: parallalogram \: }}}}}$

therefore,,

☆ opposite angles are equal......

● ∠DMU is opposite to ∠URD

thus,

∠DMU = ∠URD = 50°