Question

❤️❤️☺️Hello MATHS Experts☺️❤️❤️, Solve This Problem Please​

Answer 1

x = 70°

y = 55°

z = 55°

Explanation:

Look at the picture.

We know: the sum of the angles measure in the triangle is 180°. Therefore we have the equation:

`35^o+35^o+\alpha=180^o`

Solve it:

`70^o+\alpha=180^o\qquad\text{subtract}\ 70^o\ \text{from both sides}\\\\\alpha=110^o`

Angle α and β = x are the supplementary angles. Supplementary angles add up to 180°. Therefore:

`\alpha+\beta=180^o`

`110^o+\beta=180^o\qquad\text{subtract}\ 110^o\ \text{from both sides}\\\\\beta=70^o`

`\beta+\gamma+\gamma=180^o`

`70^o+2\gamma=180^o\qquad\text{subtract}\ 70^o\ \text{from both sides}\\\\2\gamma=110^o\qquad\text{divide both sides by 2}\\\\\gamma=55^o`