Question

in the given figure, if AOB is a straight line, then determine x. Please very urgent

Answer 1

if AOB is a straight line
then <AOB = 180 (BTW that's the symbol for angle)
hence, x+ (x - 3) + (2x - 5) = 180
x + x - 3 + 2x - 5 = 180
4x - 8 =180
4x = 188
x = 188/4
hence, x = 47

Therefore the measure of x will be 47°.
Hope it helped.

Answer 2

Concept: Linear pair of angles area unit shaped once 2 lines see one another at one purpose. The angles' area unit aforesaid to be linear if they're adjacent to every alternative when the intersection of the 2 lines. The total of angles of a linear try is often capable 180°. All linear pairs of angles area unit adjacent angles however all adjacent angles do not seem to be linear pairs.

Given: ∠AOD=x

∠COD=(x-3)

∠BOC=(2x-5)

Find: Calculate the value of x.

Solution:

AOB is a straight line.

Therefore, ∠AOD+∠COD+∠BOC=180°(Linear Pair)

                  x+x-3+2x-5=180°

                  4x-8=180°

                  4x=180°+8°

                  4x=188°

                   x=47°

∠AOD=x=47°

∠COD=x-3

         =47-3

         =44°

∠BOC=2x-5

          =2×47-5

          = 94-5

          =89°

Final answer: The value of x is 47°.

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