Question

calculate the angle ​

Answer 1

Answer:

as AC is the diagnol

we know that each angle of square is 90 degree

thus angle C's half is 45 degree

180--122=58

by ASP, 45+58+x=180

180-103=77

hence the value of x is 77 degree

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Answer 2

Given; <DCX = 112

to find ; a

solution;

<AXD +< DXC =180 (linear pair )

<AXD + 112 =180

<AXD = 180 -112 = 68

<AXD = 68

<AXD = <CXY =68 (vertically opposite angles)

<DCY = 90 (ABCD is a square )

<DCY /2 = <XCY

90/2 = 45 = <XCY

<XYC + <XCY + <CXY = 180 (angle sum property of triangle )

a + 45 + 68 =180

a = 180 -113

a = 67

This is your answer. .......

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