Asked by ARNAV

TWO ANGLES ARE ADJACENT AND FORM AND ANGLE OF 150.THE LARGER ANGLE IS 30 MORE THAN TWICE THE SMALLER.FIND THE ANGLES. CHAPTER- LINES AND ANGLES






Answered by Bosnian
If your measuring unit is a degree then:

THE LARGER ANGLE IS 30 MORE THAN TWICE THE SMALLER.

mean:

α = 2 β + 30°

TWO ANGLES ARE ADJACENT AND FORM AND ANGLE OF 150

mean:

α + β = 150°

Replace α = 2 β + 30° in this equation.

α + β = 150°

2 β + 30° + β = 150° Subtract 30° to both sides

3 β + 30° - 30° = 150° - 30°

3 β = 120°

Divide both sides by 3

β = 120° / 3

β = 40°


α + β = 150°

α + 40° = 150° Subtract 40° to both sides

α + 40° - 40° = 150° - 40°

α = 110°


α = 110° , β = 40°


I don't know what is chapter lines.

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