What is the value of x in the figure? Enter your answer in the box. x =
1 answer:
Answer:
The value of x in the given figure is,
Step-by-step explanation:
Complementary angle states that the two angles sum up to 90 degree.
From the given figure
and
are complementary angles.
by definition of complementary angles;
Subtract from both sides we get;
Simplify:
therefore, the value of x in the given figure is,
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Given:
Sides of triangles in the options.
To find:
Which could NOT be the lengths of the sides of a triangle.
Solution:
Condition for triangle:
Sum of two smaller sides of a triangle must be greater than the longest side.
In option A,
Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.
In option B,
Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.
In option C,
Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.
In option D,
Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.
Therefore, the correct option is D.