Question

Find the values of the unknowns in each of the following rectangle ​

Answer 1

Step-by-step explanation:

From triangle CBE,

angle CBE = 90°

angle BCE = 39°

we know that,

sum of all angles of a triangle = 180°

✓for triangle CBE

Angle ( CBE + BCE + BEC) = 180°

Let BEC = x

• 90° + 39° + x = 180°
• 129° + x = 180°
• x = 180 - 129
• x = 51°

thus, angle BEC = 51°

Now, angle (BCD - BCE) = 90° - 39°

angle ECD = 51°

From triangle DEC,

angle ECD = 51°

angle CED = 78°

angle ( ECD + CED + EDC ) = 180°

Let EDC = y

• 51° + 78° + y = 180°
• y = 180° - 129°
• y = 51°

thus angle EDC = 51°