Question

2. If the difference between two supplementary angles is 40°, then find the angles.
3. The exterior angle of a triangle is 110° and its two interior opposite angles are equal then find
these angles.​

Answer 1

Answer:

2. The angles are $110^{o} , 70^{o}$

3. The equal interior angles are $55^{o}$

Step-by-step explanation:

2. Let the angles be $x^{o} , 180-x^{o}$

Now,

$x - (180-x) = 40\\x - 180 + x = 40\\2x = 40+180\\2x = 220\\x=110\\\\180-x = 70$

3. Sum of Two interior opposite angles = Exterior Angle

Let the interior angles be $x^{o}$ each.

Then,

$x^{o}+x^{o} = 110^{o}\\2x^{o} = 110^{o}\\x^{o} = 55^{o}$