Question

Given m1 =(9x+7)∘ and m3​ =(5x+67) ∘, solve for x. Then find m1.

a) x = 10,m1 = 97
b) x = 5 , m1 = 52
c) x = 12 , m1 = 115
d) x = 8 , m1 = 79

Answer 1

Without knowing the relationship between m1 and m3, we cannot solve for x. If they are supplementary (which is an assumption), the calculation does not match any of the provided options, suggesting either the options or the assumption may be incorrect/incomplete.

Step-by-step explanation:

To solve for x, we need to set up an equation using the given expressions for m1 and m3 if we have some relationship between them, like if they are supplementary or complementary, etc. As the question does not provide that specific relationship, we're unable to form an equation and solve for the value of x. Assuming the angles are supplementary (which would make sense in this context based on the options given), the equation would be:

(9x + 7)° + (5x + 67)° = 180°

14x + 74 = 180

14x = 106

x = 106/14

x = 7.57 (this result doesn't match any of the options implying that supplementary angles assumption might not hold or options might be incorrect/incomplete).

If we had the correct value for x, we could then calculate m1 by substituting x back into the expression for m1:

m1 = 9x + 7