Quad-what?

Geometry Level 1

The measures of the angles (in degrees) of an quadrilateral are x , x + 10 , x + 30 x, x + 10, x + 30 and x + 40 x + 40 .

What is the largest angle, in degrees?

70 110 90 120

Samuel Cuadra by Samuel Cuadra , 21, Philippines

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1 solution

Zee Ell
Oct 9, 2016

The sum of the internal angles in a quadrilateral is always 360°.

Therefore:

x + x + 10° + x + 30° + x + 40° = 360°

4x + 80° = 360°

4x = 280°

x = 70°

Hence, the largest angle:

x + 40 ° = 70 ° + 40 ° = 110 ° x + 40° = 70° + 40° = \boxed {110°}

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