Step 1: Identify the relationship between the angles 2x and 70°. The angles 2x and 70° are adjacent angles on a straight line (the base of the triangle). Therefore, they are supplementary, meaning their sum is 180°. Step 2: Set up the equation and solve for x. 2x + 70° = 180° Subtract 70° from both sides: 2x = 180° − 70°; 2x = 110° Divide by 2: x = (110°)/(2); x = 55° The value of x is 55°.

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August 19, 2026Mathematics

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Identify the relationship between the angles $2x$ and $70^\circ$ .
The angles $2x$ and $70^\circ$ are adjacent angles on a straight line (the base of the triangle). Therefore, they are supplementary, meaning their sum is $180^\circ$ .
Set up the equation and solve for $x$ .
$2x + 70^\circ = 180^\circ$
Subtract $70^\circ$ from both sides:
$2x = 180^\circ - 70^\circ$ $2x = 110^\circ$
Divide by 2:
$x = \frac{110^\circ}{2}$ $x = 55^\circ$
The value of $x$ is \boxed{\text{55^\circ}}.