Given m<12= 121 and m<6= 75, find the measure of each missing angle.

Given M&lt;12= 121 And M&lt;6= 75, Find The Measure Of Each Missing Angle.

Answers

Answer 1

Answer/Step-by-step explanation:

Given:

m<12 = 121°

m<6 = 75°

a. m<1 = m<6 (vertical angles)

m<1 = 75° (substitution)

b. m<12 = m<1 + m2 (alternate exterior angles)

121° = 75° + m<2 (substitution)

121° - 75° = m<2 (subtraction property of equality)

46° = m<2

m<2 = 46°

c. m<1 + m<2 + m<3 = 180° (angles on a straight line)

75° + 46° + m<3 = 180° (substitution)

121° + m<3 = 180°

m<3 = 180° - 121° (subtraction property of equality)

m<3 = 59°

d. m<4 = m<3 (vertical angles)

m<4 = 59° (substitution)

e. m<5 + m<4 + m<6 = 180° (angles on a straight line)

m<5 + 59° + 75° = 180° (substitution)

m<5 + 134° = 180°

m<5 = 180° - 134° (Subtraction property of equality)

m<5 = 46°

f. m<7 = m<12 (vertical angles)

m<7 = 121° (substitution)

g. m<8 = m<4 (vertical angles)

m<8 = 59° (substitution)

h. m<9 = m<6 (Alternate Interior Angles)

m<9 = 75° (substitution)

i. m<10 + m<9 = 180° (Linear Pair)

m<10 + 75° = 180° (substitution)

m<10 = 180° - 75° (Subtraction property of equality)

m<10 = 105°

j. m<11 = m<8 (vertical angles)

m<11 = 59° (substitution)

k. m<13 = m<10 (vertical angles)

m<13 = 105° (substitution)

l. m<14 = m<9 (vertical angles)

m<14 = 75° (substitution)


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Step-by-step explanation:

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Answers

Answer:

x=16

Step-by-step explanation:

32x−14x=288

Step 1: Simplify both sides of the equation.

32x−14x=288

32x+−14x=288

(32x+−14x)=288(Combine Like Terms)

18x=288

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Step 2: Divide both sides by 18.

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Answer: x = 16

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Simplify 32[tex]x[/tex] − 14[tex]x[/tex] to 18[tex]x[/tex].

18[tex]x[/tex] = 288

Step 2: Divide both sides by 18.

[tex]x = \frac{288}{18}[/tex]

Step 3: Simplify [tex]\frac{288}{18}[/tex] to 16.

[tex]x[/tex] = 16

~I hope I helped you! :)~

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Step-by-step explanation:

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