please answer this question.. chapter: understanding Quadrilaterals
Answers
Answer:
• Given - Triangle ABC
- angle a = (x + 10 )°
- angle b = (3x + 5) °
- angle C = (2x + 15)°
• To find - Value of X
• Solution
We know that sum of all angles of a triangle is 180 °
angle a + angle b + angle C = 180°
x + 10 + 3x + 5 + 2x + 15 = 180°
X + 3x + 2x + 10 + 5 + 15 = 180°
6x + 30 = 180°
6x = 180 - 30
6x = 150
x= 150/6
X = 50/2
= 25 °
X= 25°
More to find
Angle a =
X + 10
25 + 10
35°
Angle B
3x + 5
3(25) + 5
75+ 5
80°
Angle C
2x + 15
2( 25 ) + 15
50 + 15
65°
Answer:
In angleABC,
angleA+angleB+angleC=180°
→x+10°+3x+5°+2x+15°=180°
→6x+30°=180°
→6x=180°-30°
→6x=150°
→x=150°/6
→x=25°
angleA=x+10°=25°+10°=35°
angleB=3x+5°=3×25°+5°=80°
angleC=2x+15°=2×25°+15°=65°
Step-by-step explanation:
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