Question

TWO ANGLES OFAQUADRILATERAL MEASURES 74 AND 166 DEGREES.THE OTHER TWO ANGLES ARE IN THE RATIO 3:5 .FIND THE THIRD AND FOURTH ANGLE

Answer 1

• Answer:

• Third and fourth angle of quadrilateral will be 45° and 75°

• Step-by-step explanation:

• Given,
• two angles of quadrilateral are 74° and 166°

• other two angles are in the ratio 3 : 5
• We need to find,
• Third and fourth angle
• So,
• Let, third and fourth angle of quadrilateral be 3 x and 5 x
• then,
• By angle sum property of quadrilateral , sum of all angles of quadrilateral will be 360°
• → 74° + 166° + 3 x + 5 x = 360°
• → 240° + 8 x = 360°
• → 8 x = 360° - 240°
• → 8 x = 120°
• → x = 120° / 8
• → x = 15°
• therefore,
• third and fourth angle of quadrilateral will be
• 3 x = 3 (15°) = 45°   and
• 5 x = 5 (15°) = 75° .