Question

What is the value for y?

Answer 1

Answer:

y = 14°

Step-by-step explanation:

50° = 2x° (isosceles triangle theorem)

${50}^{o} = {2x}^{o} \\ \frac{ {50}^{o} }{2} = x \\ {25}^{o} = x$

50° + 2x° + (5y + 10)° = 180° (The sum of the three angles of any triangle is equal to 180 degrees.)

${50}^{o} + {2x}^{o} + {(5y + 10)}^{o} = {180}^{o} \\ {50}^{o} + {2(25)}^{o} + 5y + {10}^{o} = {180}^{o} \\ {50}^{o} + {50}^{o} + 5y + {10}^{o} = {180}^{o} \\ {110}^{o} + 5y = {180}^{o} \\ 5y = {180}^{o} - {110}^{o} \\ 5y = {70}^{o} \\ y = \frac{ {70}^{o} }{5} \\ y = {14}^{o}$