Answer:
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It's an isosceles triangle, therefore m∠B = m∠C.
We have the equation:
2x + 10 = 3x - 5 <em>subtract 10 from both sides</em>
2x = 3x - 15 <em>subtract 3x from both sides</em>
-x = -15 <em>change the signs</em>
x = 15
m∠B = (2x + 10)°
m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°
We know, the sum of measures of a tringle is equal 180°.
m∠A + m∠B + m∠C = 180°
m∠B = m∠C = 40°
<h3>Answer: ∠B = 40° and ∠C = 40°</h3>
Answer:
108 degrees.
Step-by-step explanation:
2x + 16 = 3x - 12 (corresponding angles; AB parallel to CD).
16 + 12 = 3x - 2x
x = 28.
So the angle marked 3x - 12 = 3(28) - 12
= 72 degrees.
Angle y is adjacent to the angle so
y = 180 - 72
= 108 degrees.
Step-by-step explanation:
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