Question

The ratio of two acute angles of a right triangle is 1:4 then find the angles of
the triangle

Answer 1

Answer:

• GIVEN - 2 ACUTE ANGLES IN RATIO 1:4
• TO FIND : - ALL ANGLES OF TRIANGLES

SO , LET THE 2 GIVEN ANGLES BE 1X , 4X

SOLUTION : - 1X + 4X + 90° = 180°

5X + 90° = 180 °

5X = 180 - 90

5X = 90°

X = 18°

IF X IS 18° THEN : -

FIRST ANGLE= 1 × 18 = 18 °

SECOND ANGLE = 4 × 18 = 72 °

THIRD ANGLE = 90° [ GIVEN ]

18 + 72 + 90 = 180°

180 ° = 180 °