Given that one of the angles in a triangle is 60°, select the correct option for each statement.
Cannot be true Might be true
Must be true
(i)
The triangle
is scalene
A
B
С
(ii)
The other two angles
add up to 120°
А
B
С
A
B
The other two angles
of the triangle
are obtuse
The triangle is
right-angled
С
(iv)
A
B
С

B, C, A, B

Step-by-step explanation:

i. 60+ 10 +110 = 180 ( so it can be scalene)

ii. 60 +120 =180 ( they have to, to make a triangle)

iii. Obtuse is 90 degrees or more

iv. 90 +60+30=180 (so it can be)

question:

could we have options?

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is