The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.
60 degrees and 120 degrees
We know that the sum of the interior angles on the same side of the transversal is 180 degrees.
Hence, if the smaller angle is x degrees, then the other angle is 2x degrees.
Also, x + 2x = 180
or, 3x = 180
x = 180/3 = 60 degrees
therefore, the smaller angle is 60 degrees and the bigger angle is 2x, which is 2 x 60 = 120 degrees
I hope my answer is correct...
Given :-Two interior angles on the same side of the transversal measure (x - 8)° and (5x - 4)°
To Find :-Measure of each angles
answer :-First angle = 24°Second angle = 156°
Explaination :-As we know that, angles on the same side of the transverval is equal to 180°.
❍ According to Question :-
→ (x - 8)° + (5x - 4)° = 180°
→ x - 8 + 5x - 4 = 180°
→ 6x - 12 = 180°
→ 6x = 180 + 12
→ 6x = 192
→ x = 192 ÷ 6
→ x = 32°
Hence,First angle = x - 8 = 32 - 8 = 24°Second angle = 5x - 4 = 5(32) - 4 = 160 - 4 = 156°
hoping that it will help you I Bhumi is leaving
Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
the above mentioned question regarding the intersection of lines has given three options. following is the correct answer, it has been bold and underlined.
the answer is perpendicular lines.
-two or more lines that meet at a point are called intersecting lines. that point would be on each of these lines.
-two lines that intersect and form right angles are called perpendicular lines. the symbol ⊥ is used to denote perpendicular lines.