Question

5) It is known that ∠BAM and ∠CTX are complementary. If m∠BAM = x + 2 4 and m∠CTX = x + 11, then

solve for the value of x algebraically.

Answer 1

Answer:

x = $27.5^{o}$

Step-by-step explanation:

complementary angles are two or more angles whose sum is equal to $90^{o}$.

Thus given that;

m<BAM = x + 24

m<CTX = x + 11

So that,

m<BAM + m<CTX = 90

⇒ (x + 24) + (x + 11) = 90

x + 24 + x + 11 = 90

2x + 35 = 90

2x = 90 - 35

2x = 55

x = $\frac{55}{2}$

 = 27.5

The value of x is $27.5^{o}$.

So that,

m<BAM = x + 24

             = 27.5 +24

             = $51.5^{o}$

m<CTX = x + 11

            = 27.5 + 11

           = $38.5^{o}$

Answer 2

Answer:

x = 25

Step-by-step explanation:

combine like terms ans then solve for x