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:
The answer is Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, x, will he need to mow to have $29 left?
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
the answer is c becuase i know this que
Answer with Explanation
If two lines are parallel a and b a line m cross in this case.
Corresponding angles are congruent if line a and lines b are parallel. All angles who have the same position with regards to the parallel lines and the transversal are called corresponding pairs. Two angles that are opposite each other as D and B in the figure above is called vertical angles.
Vertical angles are always congruent. Angles that are on the opposite sides of the transversal are called alternate angles like <H,<B.
So <G=,<E is opposite angle must same and < F= ,<H is the same sum of two angles are 68. If it is divided by 2 68/2 =34 one angle is of 34 sums of angle of straight angle is 180 as we know so 180 – 34 = 146. Therefore, angle answer <G = <E = <C = <A = 146 and <F = <H = <B = <D = 34.