Answer:
60°
Step-by-step explanation:
Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.
Therefore,
m∠FBC + m∠XCB = 180°..(By interior angle property)
m∠FBC + 130° = 180°
m∠FBC = 180° - 130°
m∠FBC = 50°....(1)
Next,
m∠ABF = m∠BAY... (Alternate angles)
m∠ABC + m∠FBC = 110°
(since, m∠ABF = m∠ABC + m∠FBC)
m∠ABC + 50° = 110° (From equation 1)
m∠ABC = 110° - 50°
Answer:
A(10,-2).
Step-by-step explanation:
It is given that, on a coordinate plane, a triangle has points A'(-2, 10), B'(-6, 4), and C'(-10, 8).
We need to find the pre-image of vertex A' if the image shown on the graph was created by a reflection across the line y = x.
If a figure reflected across the line y=x, then
It is given that A'(-2,10).
On comparing both sides, we get
Therefore, the coordinates of preimage of A' are (10,-2).