A transversal cuts two lines making co-interior angles x deg and (x + 30) deg. By Euclid's fifth postulate, the lines meet on that side only if the angle sum is strictly less than 180°. Find the largest whole-number value of x (deg) for which the lines still meet on that side.

Question

Accepted Answer

74. Need x + (x + 30) < 180, i.e. 2x + 30 < 180, so 2x < 150, x < 75. The largest whole number less than 75 is 74.

A transversal cuts two lines making co-interior angles $x$ deg and $(x + 30)$ deg.
By Euclid's fifth postulate, the lines meet on that side only if the angle sum is strictly less than 180°.
Find the largest whole-number value of $x$ (deg) for which the lines still meet on that side.

Step-by-Step Solution

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More Class 9 Euclid's Postulates practice

A transversal cuts two lines making co-interior angles x deg and (x+30) deg.By Euclid's fifth postulate, the lines meet on that side only if the angle sum is strictly less than 180°.Find the largest whole-number value of x (deg) for which the lines still meet on that side.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Euclid's Postulates practice

A transversal cuts two lines making co-interior angles $x$ deg and $(x + 30)$ deg.
By Euclid's fifth postulate, the lines meet on that side only if the angle sum is strictly less than 180°.
Find the largest whole-number value of $x$ (deg) for which the lines still meet on that side.