(i) The angles of a quadrilateral are in the ratio 1 : 2:3: 4. Find all the angles.
(ii) The angles of a quadrilateral are in the ratio 2:5:7:10. Find the four angles.
quadrilateral are caual If the fourth angle is 1950 find the magnitude of
Thandles of
Answers
what it means
Step-by-step explanation:
what it means
Answer:
(i) 36°, 72°, 108°, 144°
(ii) 30°, 75°, 105°, 150°
Step-by-step explanation:
(i) We know that the sum of all the angles of the quadrilateral is equal to 360°.
From the ratio of the angles of the quadrilaterals,
1x + 2x + 3x + 4x = 360° [ Here"x" represents the hightest
common factor (hcf) of all the
angles ]
Or, 10x = 360°
:. x = 36 °
Therefore, the angles are 36°, (36°×2) or 72°, (36°×3) or 108° and (36°×4) or 144°.
(ii) We know that the sum of all the angles of the quadrilateral is equal to 360°.
From the ratio of the angles of the quadrilaterals,
1x + 2x + 3x + 4x = 360° [ Here"x" represents the hightest
common factor (hcf) of all the
angles ]
Or, 10x = 360°
:. x = 36 °
Therefore, the angles are (15×2) or 30°, (15×5) or 75°, (15×7) or 105° and (15×10) or 150°.