What the measure of AOB?
1 answer:
Answer:
∠ AOB = 17.5°
Step-by-step explanation:
∠ AOB + 110 + ∠ COD = 180 ( sum of angles in straight line )
∠ COD + 110 + ∠ COD = 180 ( subtract 110 from both sides )
∠ COD = 70 ( multiply both sides by 3 to clear the fraction )
4 ∠ COD = 210 ( divide both sides by 4 )
∠ COD = 52.5°
Thus
∠ AOB = × 52.5° = 17.5°
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Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:
Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:
13 = x
Verify whether x = 13 is the correct value:
This shows the proportional relationship between , and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
Answer : The angles are vertical angles and the value of x is
Step-by-step explanation :
Adjacent angles : It is defined as the two angles that have the common arm and common vertex.
Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.
And we know that the vertically opposite angles are equal.
In the given image, the angles are vertical angles and vertically opposite angles are equal.
So,
Therefore, the angles are vertical angles and the value of x is