2 answers:
x = 56°
Solution:
Part A:
Given data:
2x and 68° are adjacent angles in a straight line and their measures have sum of 180°.
Part B:
<em>Sum of the adjacent angles in the straight line is 180°. </em>
2x + 68° = 180°
Subtract 68° from 180°, we get
⇒ 2x = 112°
Divide by 2 on both sides, we get
⇒ x = 56°
The value of x is 56°.
Part C:
By part A and part B,
2x° + 68° = 2(56°) + 68°
= 112° + 68°
= 180°
2x° + 68° = 180°
Hence proved.
x = 56°
Solution:
Part A:
Given data:
2x and 68° are adjacent angles in a straight line and their measures have sum of 180°.
Part B:
Sum of the adjacent angles in the straight line is 180°.
2x + 68° = 180°
Subtract 68° from 180°, we get
⇒ 2x = 112°
Divide by 2 on both sides, we get
⇒ x = 56°
The value of x is 56°.
Part C:
By part A and part B,
2x° + 68° = 2(56°) + 68°
= 112° + 68°
= 180°
2x° + 68° = 180°
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