Solve it fastonly question no.. 9.

1.	Solve it fastonly question no.. 9.
Answer» $\huge \rm \underline \red{Answer}$ Given : the two ADJACENT angles on a straight line are in the RATIO 5:4. Solution : we can multiply the ratio with the same variable. Then the angles are given by, 5X and 4x. $\rightarrow$ It is given that these angles are adjacent angles on a straight line. so, they form a linear PAIR. we know that linear pair are supplementary and have same equal to 180° $\sf \rightarrow5x + 4x = 180 \degree$ $\sf \: \rightarrow9x = 180 \degree$ $\rightarrow \sf \: x = \frac{180 \degree}{9}$ $\sf \rightarrow \: \: x = 20 \degree$ Now, we have x as 20° Then the angles are, $\rightarrow \sf5x = 5 \times 20 \degree = 100 \degree$ $\rightarrow\sf \: 4x = 4 \times 20 \degree = 80 \degree$ $\therefore$ The REQUIRED measure of angle is 80°.

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