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Sagot :
Answer:
- B = C = 58°
- D = 64°
Step-by-step explanation:
You want to know the measures of angles in isosceles ∆BCD with base CB and angles C=2x+44 and D=3x+43.
Angle sum theorem
The sum of angles in a triangle is 180°. Angles at the ends of the base (CB) are congruent. This lets us write an equation for the angle measures.
∠B + ∠C + ∠D = 180
(2x +44) +(2x +44) +(3x +43) = 180 . . . . ∠C = ∠B
Solution
Simplifying the equation, we have ...
7x +131 = 180
7x = 49
x = 7
(2x +44) = 2(7) +44 = 58
(3x +43) = 3(7) +43 = 64
The measures of the angles are ...
- B = C = 58°
- D = 64°
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