give me answers in image
Answers
the angles of the triangles are 42°, 105°, 33°.
refer the attachment.
Step-by-step explanation:
✴️ Given :
one exterior angles = 105°
two interior opposite angles are in ratio of = 2:5
hence, interior opposite angels = 2x and 5x
another interior angle = y
✴️ To find :
Angles of triangle .
✴️ Solution :
exterior angles = sum of opposite angles......( property of triangle)
so,
105° = 2x+5x
105° = 7x
x = 105/7
x = 15°
substituting the value of x in 2x and 5x
two opposite angles = 2×15=30°
nd = 5×15= 75
{According to property of triangle : sum of angles of triangle is 180° }
so,
30° + 75° + y = 180°
105° +y = 180°
y = 180° -105°
y = 75°
so, the angles of triangle are as =====>
30°, 75°, 75°