In the diagram, transversal t cuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows
they are congruent.
1 answer:
we know that
<u>case a)</u> alternate exterior angles
m∠2=m∠7 --------> by alternate exterior angles
m∠1=m∠8 --------> by alternate exterior angles
<u>case b)</u> alternate interior angles
m∠3=m∠6 --------> by alternate interior angles
m∠5=m∠4 --------> by alternate interior angles
<u>case c)</u> corresponding angles
m∠1=m∠5 --------> by corresponding angles
m∠3=m∠7 --------> by corresponding angles
m∠2=m∠6 --------> by corresponding angles
m∠4=m∠8 --------> by corresponding angles
<u>case d)</u> vertical angles
m∠1=m∠4 --------> by vertical angles
m∠2=m∠3 --------> by vertical angles
m∠5=m∠8 --------> by vertical angles
m∠6=m∠7 --------> by vertical angles
therefore
the answer in the attached figure
You might be interested in
Answer:
Step-by-step explanation:
The options are missing; However, I'll simplify the given expression.
Given
Required
Write Equivalent Expression
To solve this expression, we'll make use of laws of indices throughout.
From laws of indices
So,
gives
Also from laws of indices
So, the above expression can be further simplified to
Multiply the exponents gives
Substitute for 32
From laws of indices
This law can be applied to the expression above;
becomes
Solve exponents
From laws of indices,
; So,
gives
The expression at the numerator can be combined to give
Lastly, From laws of indices,
; So,
becomes
Hence,
is equivalent to