x and y are angles on a line l'forming linear
pairs. If twice of x is 30° less than y, find
x andy
Answers
Answered by
3
Answer:
x is 15
Step-by-step explanation:
hope you understands the answer of this ques
Answered by
3
According to question
2 x = y - 30°
⇒ y = 2x + 30° …… (i)
Also, we know that
sum of x + y = 180° …… (ii)
Tip:- Sum of supplementary angles = 180°
Straight lines measure 180°. That means that these two angles are supplementary.
Complementary angles form a right angle (L shape) and have a sum of 90°. Supplementary angles form a straight line and have a sum of 180°.
Now, putting the value of y in eq (ii), we get
⇒ x + 2x + 30° = 180
⇒ 3 x = 180° – 30°
⇒ x = 50°
And y = 2x + 30°
⇒ y = 2(50°) + 30°
⇒ y = 100° + 30°
⇒ y = 130°
2 x = y - 30°
⇒ y = 2x + 30° …… (i)
Also, we know that
sum of x + y = 180° …… (ii)
Tip:- Sum of supplementary angles = 180°
Straight lines measure 180°. That means that these two angles are supplementary.
Complementary angles form a right angle (L shape) and have a sum of 90°. Supplementary angles form a straight line and have a sum of 180°.
Now, putting the value of y in eq (ii), we get
⇒ x + 2x + 30° = 180
⇒ 3 x = 180° – 30°
⇒ x = 50°
And y = 2x + 30°
⇒ y = 2(50°) + 30°
⇒ y = 100° + 30°
⇒ y = 130°
Similar questions
English,
15 days ago
Social Sciences,
15 days ago
Math,
1 month ago
Chemistry,
9 months ago
Psychology,
9 months ago
History,
9 months ago