Question

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Answer 1

Answer:

$50^{\circ}$

Step-by-step explanation:

Complementary angles mean that the sum of the angles add up to $90^{\circ}$. We can use algebra to solve for $x$ and then to determine $m\angle QRS$.

$m\angle QRS + m\angle SRT = 90$

$8x+10 + 8x = 90$

$16x = 80$

$x = 5$

$m\angle QRS = 8x+10$

$= 8(5)+10$ (substitution)

$=50^{\circ}$

∴ $m\angle QRS = 50^{\circ}$

Hope this helps :)