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the largest angle of a triangle is six times as big as the smallest .the third angle is 75 .(a) write this information in the form of equation for a the size in degree of the smallest angle (b) solve the equation and so find the sizes of three angles |
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Answer» Answer: a) LARGEST ANGLE of TRIANGLE = 6X Smallest angle of triangle = x Third angle = 75° 6x + x + 75° = 180° b) Largest angle of triangle = 6x = 6 × 15 = 90° Smallest angle of triangle = x = 15° Third angle = 75° Step-by-step explanation: Largest angle of triangle = 6x Smallest angle of triangle = x Third angle = 75° 6x + x + 75° = 180° [Because sum of all the angles is 180°] 7x + 75 = 180 7x = 180 - 75 7x = 105 x = 105/7 x = 15 Largest angle of triangle = 6x = 6 × 15 = 90° Smallest angle of triangle = x = 15° Third angle = 75° Check⇒ 90° + 75° + 15° = 180° 180° = 180° L.H.S = R.H.S Hence, the answer is correct. |
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