Question

In AXYZ ,mLY = 90°. What kind
pais do
of
angel
X and angel Z make?
​

Answer 1

Answer:

X and Y will make pair of complementry angles.

Answer 2

Question:

In ∆XYZ, measure angle Y = 90°. What kind of a pair do angle X and angle Z make?

Solution:

→ We know that, the sum of the measures of angles of the triangle is 180°.

$\sf{ m \angle x + m \angle y + m \angle z = 180 \degree } \\ \sf{ m \angle x + 90 + m \angle z = 180 \degree } \\ \sf{ \: \: \: \: \: \: \: \: \: \: \: \:m \angle x + m \angle z = 180 - 90 } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \boxed{ \red{ \sf{ \underline{\: m \angle x + m \angle z = 90 }}}}$

→ As the sum of measure angle X and measure angle Z is 90°, angle X and angle Z make a pair of complementary angles.