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In , if ==76°and =48°, find .
Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.
Assertion (A) | Reason (R) |
If the two angles of a triangle measure 50° and 70°, then its third angle is 60°. | The sum of the angles of a triangle is 180°. |
Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.
Assertion (A) | Reason (R) |
If a ray stands on a line such that ∠ACD = ∠BCD, then ∠ACD = 90°. | If a ray stands on a line then ∠ACD + ∠BCD = 180°. |
Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.
Assertion (A) | Reason (R) |
If the side BC of a ΔABC is produced to D, then ∠ACD = ∠A + ∠B. | The sum of the angles of a triangle is 180°. |
Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.
Assertion (A) | Reason (R) |
If two lines AB and CD intersect at O such that ∠AOC = 40°, then ∠BOC = 140°. | If two straight lines intersect each other, then vertically opposite angles are equal. |
Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.
Assertion (A) | Reason (R) |
If AB || CD and t is the transversal as shown, then ∠3 = ∠5. | If a ray stands on a straight line the sum of the adjacent angles so formed is 180°. |
Match the following columns:
Column I | Column II |
(a) If x° and y° be the measures of two complementary angles such that 2x = 3y, then x=……….. | (p) 45^{o} |
(b) If an angle is the Supplement of itself, then then the measure of the angle is …………. | (q) 60^{o} |
(c) If an angle is the complement of itself, then the measure of the angle is…………. | (r) 54^{o} |
(d) If x° and y° be the angles forming a linear pair such that x – y = 60°, then y = … | (s) 90^{o} |
The correct answer is:
A. – …….., B. – ……….,
C. – ………, D. – ……….,
Match the following columns:
Column I | Column II |
(a) In the given figure, ABC is a straight line. Then, ∠ACD = ….. | (p) 110° |
(b) In the given figure, ∠AOC = (2x – 10)° and ∠BOC = (3x – 10)°. Then, ∠AOD = … | (q) 85° |
(c) In the given figure, side BC of ΔABC has been produced to D. If ∠A = 65° and ∠B = 60°, then ∠ACD = ? | (r) 72° |
(d) In the given figure, AB || DE, ∠CDE = 50° and ∠BAC = 45°, then ∠ACB = …. | (s) 125° |
The correct answer is:
A. – …….., B. – ……….,
C. – ………, D. – ……….,
Match the following columns:
Column I | Column II |
(a) An angle is 10° more than its complement. The measure of the angle is…. | (p) 160° |
(b) In ΔABC, ∠A = 65° and ∠B – ∠C = 25°, then ∠B = … | (q) 50° |
(c) In ΔABC, ∠A = 40° and ∠B = ∠C? If EF || BC, then ∠EFC = … | (r) 70° |
(d) If the angles around a point are 2x°, 3x°, 5x° and 40° then the measure of largest angle is………. | (s) 110° |
The correct answer is:
A. – …….., B. – ……….,
C. – ………, D. – ……….,