Answer:
32a.) => (2x) + (x-3) = 90 <= (that's the equation, below shows work how to solve it).
32a.) => x = 31
32b.) m∠KPN = 62°
32c.) 28 ≅ m∠MPL
Step-by-step explanation:
=> We know that Angles KPN and NPO are complementary angles (Sum up
to 90°), so we can say:
(∠KPN) + (∠NPO) = 90
(2x) + (x-3) = 90
3x - 3 = 90
3x = 93
x = 93/3
x = 31
=> Now that we know the x-value, we can Substitute that in for the equation
of m∠KPN to find it's measure:
m∠KPN = 2x
m∠KPN = 2(31)
m∠KPN = 62°
=> For the third part of the question we know that m∠NPO and m∠MPL are congruent since they are vertical angles, which means if we find the measure of angle NPO we, we would know the measure of angle MPL:
m∠NPO = x - 3
m∠NPO = (31) - 3
m∠NPO = 28
We know that:
m∠NPO ≅ m∠MPL
28° ≅ m∠MPL
Hope this helps!
