You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.
Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.
Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.
Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.
m<BAC + m<B + m<BCA = 180
32 + m<B + 41 = 180
m<B + 73 = 180
m<B = 107
Answer:
a=109° b=71°
Step-by-step explanation:
All the angles in a parallelogram add up to 360. There are a few rules:
The opposite angles are congruent.
Consecutive angles are congruent.
We can apply these rules here.
71 is opposite to b
and a is consecutive to 71 so we can put together these equations.
180=71+a
71=b
we can simplify to get the answers
the end
Answer:
what kind of math is this
Step-by-step explanation:
The team lost n games.
The team won 8 more games than it lost, so it won n + 8.
The total number of games the team played was n + n + 8, or 2n + 8.
The team played a total of 24 games, so
2n + 8 = 24
We now solve for n.
2n + 8 = 24
2n = 16
n = 8 (lost games)
n + 8 = 8 + 8 = 16 (won games)
Answer: The team won 16 games and lost 8 games.
Shrink vertically by a factor of 1/4
