Question

By using the property of corresponding angles find the lettered angles and also give reasons.

Answer it to get 15 points with thanks 5 stars with brainst and I will also follow if you will give reason of your answer.​

Answer 1

${\sf{\pink{\large{\bigstar{ \: Given}}}}}$

• l || m
• 50°
• 40°

${\sf{\pink{\large{\bigstar{ \: To \: \: find }}}}}$

• The lettered angles by using property of corresponding angles.
• ∠a
• ∠b

${\sf{\pink{\large{\bigstar{ \: Assume \: that : }}}}}$

• Let l || m
• 50° be ∠2 and
• 40° be ∠1

${\sf{\red{\large{\bigstar{ \: Solution: }}}}}$

We know that :-

• When two lines are crossed by another line (called the Transversal), the angles in matching corners are called Corresponding Angles.

So, ∠a is

∠1 = ∠a ...........( Corresponding angles )

${ \boxed{ \large{ \sf{ \color{blue}∠a = 40°}}}}$

So, ∠a is

∠2= ∠b ...........( Corresponding angles )

${ \boxed{ \large{ \sf{ \color{blue}∠b = 50°}}}}$