Answer:
y = 3
Step-by-step explanation:
The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is
=
( cross- multiply )
y² = 63 ( take the square root of both sides )
y = = 3
Write an equation of the line below.
1 answer:
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Answer:
m∠3 = 57° → proved down
Step-by-step explanation:
The given is:
- Lines
and
- Lines
and
- m∠1 = 123°
We want to prove that m∠3 = 57°
∵ //
and
is the transversal → given
∴ m∠1 = m∠2 → corresponding angles
∵ m∠1 = 123° → given
∴ m∠2 = 123° → equality of two corresponding angles
∵ //
and
is the transversal → given
∴ m∠2 + m∠3 = 180° → interior supplementary angles
∵ m∠2 = 123° → proved
∴ 123 + m∠3 = 180 → subtract 123 from both sides
∴ m∠3 = 57° → inverse addition property