Question

If two angles of a quadrilateral measure 105⁰ and 35⁰, what is the measure of the other two equal angles​

Answer 1

Answer:

110°and 110°

Step-by-step explanation:

given two angles of quadrilateral as 105degree and 35 degree

given that the other two angles are equal therefore let the other angles be x and x .

we know that sum of all the 4 interior angles of quadrilateral are 360 degree.

so

105 +35+x+x=360

2x=360-140

x=220/2

x=110°

the measure of the other two angles are

110°and 110°

Answer 2

Answer:

Step-by-step explanation:

The sum of the four angles of a quadrilateral = 360°

The sum of the two angels = 105° + 35° = 140°

Therefore, the sum of the remaining angles = 360° - 140° = 220°

Both these angles are equal.

Therefore, each angle= 220° ÷ 2 = 110°