-3.2b + 9
by adding like terms together.
Answer:
- 78.33°
- 71°
Step-by-step explanation:
1) The sum of angles in a triangle is 180°, so ...
(x +3)° +(x +24)° +(x -10)° = 180°
3x +17 = 180 . . . . . . . . divide by °, collect terms
3x = 163 . . . . . . . . . . . .subtract 17
x = 54 1/3 . . . . . . . . . . .divide by 3
m∠B = (x +24)° = (54 1/3 + 24)°
m∠B ≈ 78.33°
__
2) An exterior angle is equal to the sum of the opposite interior angles.
m∠ACD = m∠A + m∠B
(3x -10)° = (x +9)° + 105°
2x = 124 . . . . . . . . . . . . . . divide by °, add 10-x to both sides
x = 62 . . . . . . . . . . . . . . . . divide by 2
m∠A = (x +9)° = (62 +9)°
m∠A = 71°
<u>Statement Reason </u>
MP || NS; RS || PQ; MR ≅ NQ Given
m∠3 = m∠2 Alternate Interior Angle
m∠1 = m∠4 Alternate Interior Angle
MQ = MR + RQ Segment Addition Postulate
NR = NQ + RQ Segment Addition Postulate
RQ = RQ Reflexive Property
MR = NQ Definition of ≅
△MQP ≅ △NRS ASA ≅
Answer:
5 c = 45 , d = 97
Step-by-step explanation:
5) You know the entire triangle has a total of 180 degrees, you also know that angle c + 135 has to equal 180.
So for angle C, you will set up your formula c=180-135 = 45
Now you set up your formula for angle d.
180=angle c + angle d +38
180 = 45 + D + 38 -> D = 180-45-38 = 97
Follow the same steps for 6 and 7
