In triangle bcd if bc =bd angle b = 13x-35 angle c =5x-19 and angled d = 2x+14 find x and the measure of each angle
1 answer:
Answer:
<b = 108 degrees
<c = 36 degrees
<d = 36 degrees
Step-by-step explanation:
The sum of angle in a triangle is 180 degrees
Hence <b + <c + <d = 180
13x-35 + 5x - 19 + 2x + 14 = 180
13x+5x+2x-35-19+14 = 180
20x-40 = 180
20x = 180 + 40
20 x = 220
x = 220/20
x = 11
Get <b
<b = 13x-35
<b = 13(11) - 35
<b = 143-35
<b = 108 degrees
Get <c
c =5x-19
<c = 5(11)-19
<c = 55-19
<c = 36degrees
Get <d
<d = 2x+14
<d = 2(11) + 14
<d = 22+14
<d = 36 degrees
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