_:n61db747c816a4bbead723587e16ec260xb74
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"<p>\\( 3x \\) and \\( 5x-30 \\) are corresponding angles and so are equal. Therefore we can write \\( 3x=5x-30 \\).\nWe can then solve this:\n \\begin{aligned}\n\n3x&amp;=5x-30\\\\\n\n0&amp;=2x-30\\\\\n\n30&amp;=2x\\\\\n\n15&amp;=x\n\n\\end{aligned} \n\\begin{array}{l}\n\n3\\times 15 = 45^{\\circ}\\\\\n\n5\\times 15-30 = 45^{\\circ}\n\n\\end{array}</p>\n"
<https://thirdspacelearning.com/gcse-maths/geometry-and-measure/corresponding-angles/>