<u>Given</u>:
Given that PQR is a triangle.
The measures of the sides of the triangle are 4,5 and 6.
We need to determine the measure of ∠Q.
<u>Measure of ∠Q:</u>
The measure of ∠Q can be determined using the law of cosines formula.
Thus, we have;
Substituting p = 6, q = 4, r = 5, we get;
Simplifying, we get;
Dividing, we get;
Thus, the measure of ∠Q is 41°
Hence, Option b is the correct answer.
Answer:
b 233 7 in
Step-by-step explanation:
$24
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Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
