What is the measure of MOP?
2 answers:
Answer:
(C)
Step-by-step explanation:
Given: It is given that angle MON is a straight angle and OP is bisects angle MOQ.
To find: The measure of the angle MOP.
Solution: It is given that angle MON is a straight angle and OP is bisects angle MOQ.
Thus, using the straight line property, we get
Substituting the given values, we get
Hence, option (C) is correct.
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Part A:
From the figure shown.
The measure of line TH = 14' 72" = 14' + 72" / 12 = 14' + 6' = 20'
Given that the measure of line HI = 20'
Thus, triangle THI is an isosceles triangle with line TI as the base.
Part B:
To find the base angles we use the Pythagoras theorem.
Recall that the perpendicuar bisector of an isosceles triangle divides the triangle into two equal right triangles.
Dividing the base into two gives 22.5' / 2 = 11.25'
Thus, the perpendicular bisector divides the isosceles triangle into two equal right triangles with base of 11.25' and hypothenus of 20'.
By pythagoras theorem,
Therefore, the base angles is 55.77 degrees.
From the figure shown.
The measure of line TH = 14' 72" = 14' + 72" / 12 = 14' + 6' = 20'
Given that the measure of line HI = 20'
Thus, triangle THI is an isosceles triangle with line TI as the base.
Part B:
To find the base angles we use the Pythagoras theorem.
Recall that the perpendicuar bisector of an isosceles triangle divides the triangle into two equal right triangles.
Dividing the base into two gives 22.5' / 2 = 11.25'
Thus, the perpendicular bisector divides the isosceles triangle into two equal right triangles with base of 11.25' and hypothenus of 20'.
By pythagoras theorem,
Therefore, the base angles is 55.77 degrees.
Answer:
x ≈ 6.2 cm
Step-by-step explanation:
using the cosine ratio in the right triangle
cosΘ = , that is
cos39° = =
( multiply both sides by 8 )
8 × cos39° = x , then
x ≈ 6.2 cm ( to 1 dec. place )