Given the three integers are , we arrive at
We can merge the fractions on the left side:
PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22 Find : m∠QPR
1 answer:
Given:
It is stated that
PQ ⊥ PS and
∠QPR = 7x-9
∠RPS = 4x+22
To find the measure of ∠QPR.
Formula
According to the problem PR sits between PQ and PS,
Consequently,
∠QPR+∠RPS = 90°
Now,
Inserting the values for ∠RPS and ∠QPR yields
or,
or,
or,
or,
Substituting the value of into ∠QPR gives us
∠QPR =
or, ∠QPR =
So,
The measure of ∠QPR is 40°.
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