Answer:
R = 45
Angle DBE = 100
Explanation:
To find the value of r and the measure of angle DBE, we can use the given information about angles ABE and ABD.
Given that angle ABE = 100 and angle ABD = 2(r+5), we can set up an equation to solve for r:
angle ABE = angle ABD 100 = 2(r+5)
Simplifying the equation:
100 = 2r + 10
Subtracting 10 from both sides:
90 = 2r
Dividing both sides by 2:
45 = r
Therefore, r = 45.
To find the measure of angle DBE, we can substitute the value of r into the equation for angle ABD:
angle ABD = 2(r+5) angle ABD = 2(45+5) angle ABD = 2(50) angle ABD = 100
Therefore, angle DBE = 100.
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