Does anyone know how to do this? It's the angle sum theorem.

Answer:
90 degrees
Step-by-step explanation:
the 110 angle+the inside angle will be 180 degrees, so 180-110=70. The other triangle has the same angle, since the bisector will create a side that is the same, it proves how the triangle are the same, and the bisector creates a 90 degree angle, or a right angle.
The value of angle y is 90°
First we are mentioning the respective points in the following diagram .
Let the point containing angle 110° be B , containing angle x° be A , containing angle y° be D and containing angle 70° be C .
We know that the sum of interior angle and exterior angle subtending in a base of a straight line is always 180°.
Thus , the interior angle of B is 180° - 110° = 70°
Also we know that the sum of the interior angles of a triangle is always 180°.
Considering triangle ΔABC ,
⇒ 2x° + 70° + 70° = 180°
⇒ 2x° = 40°
∴ x = 20°
Now using the same property that the sum of the interior angles of a triangle is 180°,
Considering triangle ΔABD ,
⇒ x° + 70° + y° = 180°
⇒ 20° + 70° + y° = 180°
∴ y = 180° - 90° = 90°
Thus the value of angle y is 90°
To learn more about properties of triangle, refer -
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