Answer:
19)
110° + x = 180°
x = 180 - 110
x = 70
m<1 = 70°
since <1 and <2 are vertical angles, then they are congruent.
<2 = <1
m<2 = 70°
20)
3x - 15 = 2x + 17
3x - 2x = 17 + 15
x = 32
[3(32) - 15] + x = 180°
[96 - 15] + x = 180
81 + x = 180
x = 180 - 81
x = 99
m<3 = 99°
[2(32) + 17] + x = 180°
[64 + 17] + x = 180
m<4 = 99°
21)
<6 and <9 is congruent, as they are vertical angles.
<5 and <8 is congruent, as they are vertical angles.
<7 and <10 is congruent, as they are vertical angles.
m<5 + m<6 + m<7 = 180°
x + 2x + 40 + 4x = 180
7x = 180 - 40
7x = 140
x = 20
m<5 = x
m<5 = 20°
m<6 = 2x + 40
= 2(20) + 40
= 40 + 40
m<6 = 80°
m<7 = 4x
= 4(20)
m<7 = 80°
m<9 = m<6
m<9 = 80°
m<8 = m<5
m<8 = 20°
m<10 = m<7
m<10 = 80°
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Answers & Comments
Answer:
19)
110° + x = 180°
x = 180 - 110
x = 70
m<1 = 70°
since <1 and <2 are vertical angles, then they are congruent.
<2 = <1
m<2 = 70°
20)
3x - 15 = 2x + 17
3x - 2x = 17 + 15
x = 32
[3(32) - 15] + x = 180°
[96 - 15] + x = 180
81 + x = 180
x = 180 - 81
x = 99
m<3 = 99°
[2(32) + 17] + x = 180°
[64 + 17] + x = 180
81 + x = 180
x = 180 - 81
x = 99
m<4 = 99°
21)
<6 and <9 is congruent, as they are vertical angles.
<5 and <8 is congruent, as they are vertical angles.
<7 and <10 is congruent, as they are vertical angles.
m<5 + m<6 + m<7 = 180°
x + 2x + 40 + 4x = 180
7x = 180 - 40
7x = 140
x = 20
m<5 = x
m<5 = 20°
m<6 = 2x + 40
= 2(20) + 40
= 40 + 40
m<6 = 80°
m<7 = 4x
= 4(20)
m<7 = 80°
m<9 = m<6
m<9 = 80°
m<8 = m<5
m<8 = 20°
m<10 = m<7
m<10 = 80°
#CarryOnLearning